「Mathjax2.x 練習場」の版間の差分

提供:yonewiki
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編集の要約なし
 
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<freescript></script>
<freescript></script>
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Main;      src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Main-Regular.woff?V=2.7.9') format('woff'),      url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Main-Regular.otf?V=2.7.9') format('opentype')}</style>
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Size1;      src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Size1-Regular.woff?V=2.7.9') format('woff'),      url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Size1-Regular.otf?V=2.7.9') format('opentype')}</style>
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Size3;      src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Size3-Regular.woff?V=2.7.9') format('woff'),      url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Size3-Regular.otf?V=2.7.9') format('opentype')}</style>
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Size2;      src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Size2-Regular.woff?V=2.7.9') format('woff'),      url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Size2-Regular.otf?V=2.7.9') format('opentype')}</style>
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Variants;  src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Variants-Regular.woff?V=2.7.9') format('woff'),  url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Variants-Regular.otf?V=2.7.9') format('opentype')}</style>
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Normal;    src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Normal-Regular.woff?V=2.7.9') format('woff'),    url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Normal-Regular.otf?V=2.7.9') format('opentype')}</style>
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Alphabets;  src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Alphabets-Regular.woff?V=2.7.9') format('woff'),  url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Alphabets-Regular.otf?V=2.7.9') format('opentype')}</style>
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Marks;      src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Marks-Regular.woff?V=2.7.9') format('woff'),      url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Marks-Regular.otf?V=2.7.9') format('opentype')}</style>
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Arrows;    src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Arrows-Regular.woff?V=2.7.9') format('woff'),    url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Arrows-Regular.otf?V=2.7.9') format('opentype')}</style>
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Operators;  src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Operators-Regular.woff?V=2.7.9') format('woff'),  url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Operators-Regular.otf?V=2.7.9') format('opentype')}</style>
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Symbols;    src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Symbols-Regular.woff?V=2.7.9') format('woff'),    url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Symbols-Regular.otf?V=2.7.9') format('opentype')}</style>
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Shapes;    src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Shapes-Regular.woff?V=2.7.9') format('woff'),    url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Shapes-Regular.otf?V=2.7.9') format('opentype')}</style>
<style type="text/css">@font-face {font-family: NeoEulerMathJax_NonUnicode; src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_NonUnicode-Regular.woff?V=2.7.9') format('woff'), url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_NonUnicode-Regular.otf?V=2.7.9') format('opentype')}</style>
<script type="text/x-mathjax-config">
<script type="text/x-mathjax-config">
   MathJax.Ajax.config.path["Contrib"]="https://wiki.yo-net.jp/mathjax/";
   MathJax.Ajax.config.path["Contrib"]="https://wiki.yo-net.jp/mathjax/";
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     {
     {
       tex2jax:{
       tex2jax:{
         inlineMath: [['\\@','\\@'],['\\(','\\)']],
        displayMath: [['$$', '$$'],['\\[', '\\]']],
         inlineMath: [['\\@', '\\@'],['\\(', '\\)']],
         processEscapes: true
         processEscapes: true
       },
       },
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       },
       },
       "HTML-CSS": {
       "HTML-CSS": {
         undefinedFamily: "'Neo Euler Medium', Meiryo, STIXGeneral, 'Arial Unicode MS', serif",
         undefinedFamily: "Meiryo, STIXGeneral, 'Arial Unicode MS', serif",
         webFont :"Euler"
         webFont :"Neo-Euler"
       }
       }
     }
     }
38行目: 53行目:
[[Mathjax 2.7]]に戻る。
[[Mathjax 2.7]]に戻る。


[[Mathjax コード一覧]]に戻る。
[[Mathjax2.x コード一覧]]に戻る。


== '''概要''' ==
== '''概要''' ==
 Mathjax2.x系で使えるコード一覧を作成したいと思います。しばらくはコード動作確認調整期間になります。Mathjax3.x系向けのサンプルを全部貼りましたので、動いていないものは非対応だったんだなと思っていいと思います。
 Mathjax2.x系で使えるコード一覧を作成したいと思います。<span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\frac{3}{5}" style="width: 0.718em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.821em, 1000.57em, 2.866em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.383em, 1000.26em, 2.406em, -999.997em); top: -2.656em; left: 50%; margin-left: -0.151em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.26em, 2.406em, -999.997em); top: -1.634em; left: 50%; margin-left: -0.151em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">5</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.36em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.36em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.841em; border-left: 0px solid; width: 0px; height: 2.341em;"></span></span></span>しばらくはコード動作確認調整期間になります。Mathjax3.x系向けのサンプルを全部貼りましたので、<span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\frac{5}{9}" style="width: 0.718em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.821em, 1000.57em, 2.866em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.383em, 1000.26em, 2.406em, -999.997em); top: -2.656em; left: 50%; margin-left: -0.151em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">5</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.26em, 2.406em, -999.997em); top: -1.634em; left: 50%; margin-left: -0.151em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">9</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.36em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.36em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.841em; border-left: 0px solid; width: 0px; height: 2.341em;"></span></span></span>動いていないものは非対応だったんだなと思っていいと思います。


 <div id="output">Checking environment...</div>
ア <span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\frac{\rho}{1-\rho}_\times_Ts" style="width: 4.707em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.684em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.63em, 2.917em, -999.997em); top: -2.145em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.23em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(3.479em, 1000.36em, 4.297em, -999.997em); top: -4.548em; left: 50%; margin-left: -0.202em;"><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">ρ</span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.275em, 1001.08em, 4.297em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.56em;"><span class="mrow"><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">1</span><span class="texatom"><span class="mrow"><span class="mo" style="font-size: 70.7%;"><span style="font-family: STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">-</span></span></span></span><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">ρ</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.23em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.23em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">×</span><span class="mi" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.105em;"></span></span><span class="mi" style="font-family: NeoEulerMathJax_Main;">s</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.841em; border-left: 0px solid; width: 0px; height: 2.016em;"></span></span></span>


 Version2.0系に関する記事です。このページのMathJaxバージョンは
イ <span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\frac{\rho}{1-2\rho}_\times_Ts" style="width: 5.167em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.042em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.99em, 2.917em, -999.997em); top: -2.145em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.588em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(3.479em, 1000.36em, 4.297em, -999.997em); top: -4.548em; left: 50%; margin-left: -0.202em;"><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">ρ</span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.275em, 1001.43em, 4.297em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.713em;"><span class="mrow"><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">1</span><span class="texatom"><span class="mrow"><span class="mo" style="font-size: 70.7%;"><span style="font-family: STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">-</span></span></span></span><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">2</span><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">ρ</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.59em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.588em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">×</span><span class="mi" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.105em;"></span></span><span class="mi" style="font-family: NeoEulerMathJax_Main;">s</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.841em; border-left: 0px solid; width: 0px; height: 2.016em;"></span></span></span>


 <div id="version">Loading MathJax version...</div>
ウ <span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\frac{2\rho}{1-\rho}_\times_Ts" style="width: 4.707em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.684em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.974em, 1003.63em, 2.917em, -999.997em); top: -2.145em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.23em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(3.326em, 1000.72em, 4.297em, -999.997em); top: -4.548em; left: 50%; margin-left: -0.355em;"><span class="mrow"><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">2</span><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">ρ</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.275em, 1001.08em, 4.297em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.56em;"><span class="mrow"><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">1</span><span class="texatom"><span class="mrow"><span class="mo" style="font-size: 70.7%;"><span style="font-family: STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">-</span></span></span></span><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">ρ</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.23em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.23em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">×</span><span class="mi" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.105em;"></span></span><span class="mi" style="font-family: NeoEulerMathJax_Main;">s</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.841em; border-left: 0px solid; width: 0px; height: 2.211em;"></span></span></span>
<freescript></script>
<script type="text/javascript">
// 読み込み後にグローバルスコープのオブジェクトを調べる
window.onload = function() {
  const keys = Object.keys(window).sort(); // グローバル変数を列挙
  const output = keys.includes("MathJax") ? "MathJax is defined." : "MathJax is not defined. Global keys: " + keys.join(", ");
  document.getElementById("output").textContent = output;


  if (typeof MathJax !== "undefined") {
エ <span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\frac{2\rho}{1-2\rho}_\times_Ts" style="width: 5.167em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.042em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.974em, 1003.99em, 2.917em, -999.997em); top: -2.145em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.588em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(3.326em, 1000.72em, 4.297em, -999.997em); top: -4.548em; left: 50%; margin-left: -0.355em;"><span class="mrow"><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">2</span><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">ρ</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.275em, 1001.43em, 4.297em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.713em;"><span class="mrow"><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">1</span><span class="texatom"><span class="mrow"><span class="mo" style="font-size: 70.7%;"><span style="font-family: STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">-</span></span></span></span><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">2</span><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">ρ</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.59em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.588em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">×</span><span class="mi" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.105em;"></span></span><span class="mi" style="font-family: NeoEulerMathJax_Main;">s</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.841em; border-left: 0px solid; width: 0px; height: 2.211em;"></span></span></span>
    if(MathJax.version) {
    // MathJax のバージョンを取得して表示
      document.getElementById("version").textContent = "MathJax version: " + MathJax.version;
    }
  } else {
    console.error("MathJax is not defined or failed to load.");
    document.getElementById("version").textContent = "MathJax failed to load.";
  }
};
</script>
<script></freescript>


 
 
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=== 数 ===
=== 数 ===


*分数
*キャンセル4
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<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<code class="tex">\frac{1}{2}
<code class="tex">\cancel{a}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \frac{1}{2} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\cancel{a}" style="width: 1.332em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.025em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.872em, 1001.02em, 2.712em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="menclose"><span style="display: inline-block; position: relative; width: 1.025em; height: 0px;"><span  style="border: 1.5px none; display: inline-block; overflow: hidden; width: 1.025em; height: 1.536em; vertical-align: -0.049em; position: absolute; top: -1.071em; left: 0em;"></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0.258em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.298em; left: 0em;"><svg style="width: 1.025em; height: 1.536em;"><g fill="none" stroke="currentColor" stroke-width="1.46685"><line x1="1" y1="28.84805" x2="18.29005" y2="1.46685"></line></g></svg><span style="display: inline-block; width: 0px; height: 2.764em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.646em; border-left: 0px solid; width: 0px; height: 2.081em;"></span></span></span></div>
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87行目: 84行目:
<code class="tex">\frac{1}{2}
<code class="tex">\frac{1}{2}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \frac{1}{2} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\frac{1}{2}" style="width: 0.923em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1000.72em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
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95行目: 92行目:
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<code class="tex">\displaystyle \frac{1}{2}
<code class="tex">\displaystyle \frac{1}{2}
</code></pre></div><script></freescript><div align="center" style="background-color:#eeeeee; border:2px solid;"><span class="none_math" id="NonMathJax-Span-1" style="width: 1.076em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.821em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1000.82em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow" id="NonMathJax-Span-2"><span class="mfrac" id="NonMathJax-Span-3"><span style="display: inline-block; position: relative; width: 0.616em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.912em; left: 50%; margin-left: -0.253em;"><span class="mn" id="NonMathJax-Span-4"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -1.48em; left: 50%; margin-left: -0.253em;"><span class="mn" id="NonMathJax-Span-5"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.62em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.616em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></div>
</code></pre></div><script></freescript><div align="center" style="background-color:#eeeeee; border:2px solid;">
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\displaystyle_\frac{1}{2}" style="width: 0.923em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1000.72em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
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103行目: 102行目:
<code class="tex">\dfrac{1}{2}
<code class="tex">\dfrac{1}{2}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \dfrac{1}{2} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\dfrac{1}{2}" style="width: 0.923em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1000.72em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div>
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113行目: 112行目:
   x    & \cdots & -1 & \cdots & 1 & \cdots \\  
   x    & \cdots & -1 & \cdots & 1 & \cdots \\  
   \hline
   \hline
   f’(x) & + & 0 & – & 0 & + \\  
   f^{\prime}(x) & + & 0 & – & 0 & + \\  
   \hline
   \hline
   f(x)  & \nearrow & e & \searrow & -e & \nearrow
   f(x)  & \nearrow & e & \searrow & -e & \nearrow
\end{array}
\end{array}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{array}{c|ccccc}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{array}{c|ccccc}\vbCrLf\vbCrLf_x_____&_\cdots_&_-1_&_\cdots_&_1_&_\cdots_\\_\vbCrLf_\hline\vbCrLf_f^{\prime}(x)_&_+_&_0_&_–_&_0_&_+_\\_\vbCrLf_\hline\vbCrLf_f(x)__&_\nearrow_&_e_&_\searrow_&_-e_&_\nearrow\vbCrLf\vbCrLf\end{array}" style="width: 15.086em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.865em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-0.509em, 1011.87em, 4.195em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 11.558em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.559em, 1001.54em, 6.803em, -999.997em); top: -4.906em; left: 0.412em;"><span style="display: inline-block; position: relative; width: 1.536em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.025em, 1001.54em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.764em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.452em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">′</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1001.38em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.662em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 2.917em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↗</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.97em, 6.803em, -999.997em); top: -4.906em; left: 4.707em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.458em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 6.649em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.145em; left: 50%; margin-left: -0.253em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">–</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↘</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.97em, 6.803em, -999.997em); top: -4.906em; left: 8.439em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.458em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 10.433em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↗</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-left: 1.3px solid; width: 0px; height: 4.349em; position: absolute; top: -2.452em; left: 2.457em; border-top-style: solid; border-right-style: solid; border-bottom-style: solid;"></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 11.558em; height: 0px; position: absolute; top: -1.071em; left: 0em;"></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 11.558em; height: 0px; position: absolute; top: 0.463em; left: 0em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.529em; border-left: 0px solid; width: 0px; height: 5.653em;"></span></span></span></div>
  x    & \cdots & -1 & \cdots & 1 & \cdots \\  
  \hline
  f’(x) & + & 0 & & 0 & + \\  
  \hline
  f(x) & \nearrow & e & \searrow & -e & \nearrow
\end{array} $$
</div>
</div>


133行目: 126行目:
<code class="tex">\sqrt{ 2 }
<code class="tex">\sqrt{ 2 }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \sqrt{ 2 } $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\sqrt{_2_}" style="width: 1.383em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.923em, 1001.08em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msqrt"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0.667em;"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.974em, 1000.41em, 1.281em, -999.997em); top: -2.145em; left: 0.667em;"><span style="display: inline-block; overflow: hidden; vertical-align: -0.049em; border-top: 1.3px solid; width: 0.412em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1000.67em, 4.349em, -999.997em); top: -4.19em; left: 0em;"><span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">√</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.692em;"></span></span></span></div>
</div>
</div>


140行目: 133行目:
<freescript></script>
<freescript></script>
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<code class="tex">f'
<code class="tex">f^{\prime}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ f' $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_f^{\prime}" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.974em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">′</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div>
</div>
</div>


150行目: 143行目:
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap">
<code class="tex">\begin{eqnarray}
<code class="tex">\begin{eqnarray}
f'(x)
f^{\prime}(x)
  = \frac{ df }{ dx }
  = \frac{ df }{ dx }
  = \lim_{ \Delta x \to 0 } \frac{ f(x + \Delta x) - f(x) }{ \Delta x }
  = \lim_{ \Delta x \to 0 } \frac{ f(x + \Delta x) - f(x) }{ \Delta x }
\end{eqnarray}
\end{eqnarray}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{eqnarray}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLff^{\prime}(x)\vbCrLf\vbCrLf=_\frac{_df_}{_dx_}\vbCrLf=_\lim\_{_\Delta_x_\to_0_}_\frac{_f(x_+_\Delta_x)_-_f(x)_}{_\Delta_x_}\vbCrLf\vbCrLf\end{eqnarray}" style="width: 16.518em; display: inline-block;"><span style="display: inline-block; position: relative; width: 12.99em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.36em, 1012.99em, 3.326em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 12.683em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.252em, 1012.68em, 5.218em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 12.683em; height: 0px;"><span style="position: absolute; clip: rect(0.463em, 1012.68em, 3.428em, -999.997em); top: -2.196em; right: 0em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">′</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mfrac" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.82em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.406em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.406em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.97em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.974em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="munderover" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 1.536em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.28em, 2.457em, -999.997em); top: -2.094em; left: 0.156em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.54em, 2.508em, -999.997em); top: -1.173em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Δ</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mfrac" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 5.831em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1005.73em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -2.861em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Δ</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.458em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">Δ</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1005.83em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 5.831em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.425em; border-left: 0px solid; width: 0px; height: 3.51em;"></span></span></span></div>
f'(x)
= \frac{ df }{ dx }
= \lim_{ \Delta x \to 0 } \frac{ f(x + \Delta x) - f(x) }{ \Delta x }
\end{eqnarray} $$
</div>
</div>


169行目: 158行目:
   x    & \cdots & -1 & \cdots & 1 & \cdots \\  
   x    & \cdots & -1 & \cdots & 1 & \cdots \\  
   \hline
   \hline
   f’(x) & + & 0 & – & 0 & + \\  
   f^{\prime}(x) & + & 0 & – & 0 & + \\  
   \hline
   \hline
   f(x)  & \nearrow & e & \searrow & -e & \nearrow
   f(x)  & \nearrow & e & \searrow & -e & \nearrow
\end{array}
\end{array}
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \begin{array}{c|ccccc}
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{array}{c|ccccc}\vbCrLf\vbCrLf_x_____&_\cdots_&_-1_&_\cdots_&_1_&_\cdots_\\_\vbCrLf_\hline\vbCrLf_f^{\prime}(x)_&_+_&_0_&_–_&_0_&_+_\\_\vbCrLf_\hline\vbCrLf_f(x)__&_\nearrow_&_e_&_\searrow_&_-e_&_\nearrow\vbCrLf\vbCrLf\end{array}" style="width: 15.086em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.865em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-0.509em, 1011.87em, 4.195em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 11.558em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.559em, 1001.54em, 6.803em, -999.997em); top: -4.906em; left: 0.412em;"><span style="display: inline-block; position: relative; width: 1.536em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.025em, 1001.54em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.764em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.452em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">′</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1001.38em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.662em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 2.917em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↗</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.97em, 6.803em, -999.997em); top: -4.906em; left: 4.707em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.458em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 6.649em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.145em; left: 50%; margin-left: -0.253em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">–</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↘</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.97em, 6.803em, -999.997em); top: -4.906em; left: 8.439em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.458em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 10.433em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">↗</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-left: 1.3px solid; width: 0px; height: 4.349em; position: absolute; top: -2.452em; left: 2.457em; border-top-style: solid; border-right-style: solid; border-bottom-style: solid;"></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 11.558em; height: 0px; position: absolute; top: -1.071em; left: 0em;"></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 11.558em; height: 0px; position: absolute; top: 0.463em; left: 0em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.529em; border-left: 0px solid; width: 0px; height: 5.653em;"></span></span></span></div>
  x    & \cdots & -1 & \cdots & 1 & \cdots \\  
  \hline
  f’(x) & + & 0 & & 0 & + \\  
  \hline
  f(x) & \nearrow & e & \searrow & -e & \nearrow
\end{array} $$
</div>
</div>


198行目: 181行目:
<code class="tex">\underline{ A }
<code class="tex">\underline{ A }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \underline{A\phantom{B}} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\underline{A\phantom{B}}" style="width: 1.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 3.633em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="texatom"><span class="mrow"><span class="mphantom"><span class="mrow" style="visibility: hidden;"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.36em, 2.457em, -999.997em); top: -0.918em; left: 0.412em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">_</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.815em; border-left: 0px solid; width: 0px; height: 2.925em;"></span></span></span></div>
</div>
</div>


207行目: 190行目:
<code class="tex">\underline{ AB }
<code class="tex">\underline{ AB }
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;">
$$ \underline{AB} $$
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\underline{AB}" style="width: 1.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.13em, 3.633em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.13em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.36em, 2.457em, -999.997em); top: -0.918em; left: 0.412em;"><span class="mo"><span style="font-family: &quot;Neo Euler Medium&quot;, Meiryo, STIXGeneral, &quot;Arial Unicode MS&quot;, serif; font-size: 79%; font-style: normal; font-weight: normal;">_</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.815em; border-left: 0px solid; width: 0px; height: 2.925em;"></span></span></span></div>
</div>
</div>

2025年1月27日 (月) 16:36時点における最新版

Mathjax 2.7に戻る。

Mathjax2.x コード一覧に戻る。

概要

 Mathjax2.x系で使えるコード一覧を作成したいと思います。35しばらくはコード動作確認調整期間になります。Mathjax3.x系向けのサンプルを全部貼りましたので、59動いていないものは非対応だったんだなと思っていいと思います。

ア ρ1ρ×Ts

イ ρ12ρ×Ts

ウ 2ρ1ρ×Ts

エ 2ρ12ρ×Ts

 

  • キャンセル4

\cancel{a}
a


  • 分数(NonMathjax)

\frac{1}{2}
12


  • 分数(大)

\displaystyle \frac{1}{2}
12


  • 分数(大)2

\dfrac{1}{2}
12


  • 増減表

\begin{array}{c|ccccc}
  x     & \cdots & -1 & \cdots & 1 & \cdots \\ 
  \hline
  f^{\prime}(x) & + & 0 & – & 0 & + \\ 
  \hline
  f(x)  & \nearrow & e & \searrow & -e & \nearrow
\end{array}
xf(x)f(x)+10e10e+


  • 平方根

\sqrt{ 2 }
2


  • 微分(ラグランジュ)

f^{\prime}
f


  • 微分サンプル

\begin{eqnarray}
f^{\prime}(x)
 = \frac{ df }{ dx }
 = \lim_{ \Delta x \to 0 } \frac{ f(x + \Delta x) - f(x) }{ \Delta x }
\end{eqnarray}
f(x)=dfdx=limΔx0f(x+Δx)f(x)Δx


  • 表サンプル

\begin{array}{c|ccccc}
  x     & \cdots & -1 & \cdots & 1 & \cdots \\ 
  \hline
  f^{\prime}(x) & + & 0 & – & 0 & + \\ 
  \hline
  f(x)  & \nearrow & e & \searrow & -e & \nearrow
\end{array}
xf(x)f(x)+10e10e+


  • 下線

\underline{ A }

$$ \underline{ A } $$


  • 下線

\underline{ A }
A_


  • 下線

\underline{ AB }
AB_