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E - 修訂歷史
2026-05-01T21:04:18Z
本 Wiki 上此頁面的修訂歷史
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丁志仁：/* 三、\ln x */
2021-01-03T10:39:47Z
<p><span dir="auto"><span class="autocomment">三、\ln x</span></span></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="zh-Hant-TW">
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">←上個修訂</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">於 2021年1月3日 (日) 10:39 的修訂</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l48" >行 48：</td>
<td colspan="2" class="diff-lineno">行 48：</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===三、<math>\ln x</math>===</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===三、<math>\ln x</math>===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/4/4a/Log_(2).svg' width=120px height=*/></div></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/4/4a/Log_(2).svg' width=120px height=*/></div></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math>y=e^x</math>，這是給定指數大小，求出次方值。<br/>如果 x,y 對調，<br/>變成給定次方值，求出指數大小：<br/><math>x=e^y</math> 稱 <math>\ln x=y</math> 即 <math>y=\ln x</math> 。<br/><del class="diffchange diffchange-inline">圖形如下：</del></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math>y=e^x</math>，這是給定指數大小，求出次方值。<br/>如果 x,y 對調，<br/>變成給定次方值，求出指數大小：<br/><math>x=e^y</math> 稱 <math>\ln x=y</math> 即 <math>y=\ln x</math> 。<br/><ins class="diffchange diffchange-inline">圖形如右：</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/0/00/Exp_explog.png' width=200px height=200px/></div></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/0/00/Exp_explog.png' width=200px height=200px/></div></div></td></tr>
</table>
丁志仁
http://nice-learning.net/nlWiki/index.php?title=E&diff=4225&oldid=prev
丁志仁：/* 三、\ln x */
2021-01-03T10:39:18Z
<p><span dir="auto"><span class="autocomment">三、\ln x</span></span></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="zh-Hant-TW">
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">←上個修訂</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">於 2021年1月3日 (日) 10:39 的修訂</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l47" >行 47：</td>
<td colspan="2" class="diff-lineno">行 47：</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===三、<math>\ln x</math>===</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===三、<math>\ln x</math>===</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/4/4a/Log_(2).svg' width=<del class="diffchange diffchange-inline">130px </del>height=*/></div></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/4/4a/Log_(2).svg' width=<ins class="diffchange diffchange-inline">120px </ins>height=*/></div></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math>y=e^x</math>，這是給定指數大小，求出次方值。<br/>如果 x,y 對調，<br/>變成給定次方值，求出指數大小：<br/><math>x=e^y</math> 稱 <math>\ln x=y</math> 即 <math>y=\ln x</math> 。<br/>圖形如下：</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math>y=e^x</math>，這是給定指數大小，求出次方值。<br/>如果 x,y 對調，<br/>變成給定次方值，求出指數大小：<br/><math>x=e^y</math> 稱 <math>\ln x=y</math> 即 <math>y=\ln x</math> 。<br/>圖形如下：</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/0/00/Exp_explog.png' width=<del class="diffchange diffchange-inline">220px </del>height=<del class="diffchange diffchange-inline">220px</del>/></div></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/0/00/Exp_explog.png' width=<ins class="diffchange diffchange-inline">200px </ins>height=<ins class="diffchange diffchange-inline">200px</ins>/></div></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===四、<math>\ln x</math> 的微分===</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===四、<math>\ln x</math> 的微分===</div></td></tr>
</table>
丁志仁
http://nice-learning.net/nlWiki/index.php?title=E&diff=4224&oldid=prev
丁志仁：/* 四、\ln x 的微分 */
2021-01-03T10:37:27Z
<p><span dir="auto"><span class="autocomment">四、\ln x 的微分</span></span></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="zh-Hant-TW">
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">←上個修訂</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">於 2021年1月3日 (日) 10:37 的修訂</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l55" >行 55：</td>
<td colspan="2" class="diff-lineno">行 55：</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>如右圖， <math>y=e^x</math> 為紅線， <math>y=\ln x</math> 為綠線，兩者以 y=x (藍)直線互為鏡像。</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>如右圖， <math>y=e^x</math> 為紅線， <math>y=\ln x</math> 為綠線，兩者以 y=x (藍)直線互為鏡像。</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>既然 <math>y=e^x</math> 的切線斜率 ∆x 始終為 1 ∆y 始終為 y ，斜率始終為 y <del class="diffchange diffchange-inline">；那麼 </del><math>y=\ln x</math> 的切線斜率就會 ∆y 始終為 1 ∆x 始終為 x ，斜率始終為 1/x 。</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>既然 <math>y=e^x</math> 的切線斜率 ∆x 始終為 1 ∆y 始終為 y ，斜率始終為 y <ins class="diffchange diffchange-inline">；<br/>那麼 </ins><math>y=\ln x</math> 的切線斜率就會 ∆y 始終為 1 ∆x 始終為 x ，斜率始終為 1/x 。</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
</table>
丁志仁
http://nice-learning.net/nlWiki/index.php?title=E&diff=4223&oldid=prev
丁志仁：/* 三、\ln x */
2021-01-03T10:36:31Z
<p><span dir="auto"><span class="autocomment">三、\ln x</span></span></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="zh-Hant-TW">
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">←上個修訂</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">於 2021年1月3日 (日) 10:36 的修訂</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l47" >行 47：</td>
<td colspan="2" class="diff-lineno">行 47：</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===三、<math>\ln x</math>===</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===三、<math>\ln x</math>===</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/4/4a/Log_(2).svg' width=<del class="diffchange diffchange-inline">120px </del>height=*/></div></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/4/4a/Log_(2).svg' width=<ins class="diffchange diffchange-inline">130px </ins>height=*/></div></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math>y=e^x</math>，這是給定指數大小，求出次方值。<br/>如果 x,y 對調，<br/>變成給定次方值，求出指數大小：<br/><math>x=e^y</math> 稱 <math>\ln x=y</math> 即 <math>y=\ln x</math> 。<br/>圖形如下：</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math>y=e^x</math>，這是給定指數大小，求出次方值。<br/>如果 x,y 對調，<br/>變成給定次方值，求出指數大小：<br/><math>x=e^y</math> 稱 <math>\ln x=y</math> 即 <math>y=\ln x</math> 。<br/>圖形如下：</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/0/00/Exp_explog.png' width=220px height=220px/></div></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/0/00/Exp_explog.png' width=220px height=220px/></div></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===四、<math>\ln x</math> 的微分===</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===四、<math>\ln x</math> 的微分===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>如右圖， <math>y=e^x</math> 為紅線， <math>y=\ln x</math> 為綠線，兩者以 y=x (藍)直線互為鏡像。</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>如右圖， <math>y=e^x</math> 為紅線， <math>y=\ln x</math> 為綠線，兩者以 y=x (藍)直線互為鏡像。</div></td></tr>
</table>
丁志仁
http://nice-learning.net/nlWiki/index.php?title=E&diff=4222&oldid=prev
丁志仁：/* 三、\ln x */
2021-01-03T10:35:50Z
<p><span dir="auto"><span class="autocomment">三、\ln x</span></span></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="zh-Hant-TW">
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">←上個修訂</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">於 2021年1月3日 (日) 10:35 的修訂</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l51" >行 51：</td>
<td colspan="2" class="diff-lineno">行 51：</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/0/00/Exp_explog.png' width=220px height=220px/></div></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/0/00/Exp_explog.png' width=220px height=220px/></div></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">===四、<math>\ln x</math> 的微分===</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>如右圖， <math>y=e^x</math> 為紅線， <math>y=\ln x</math> 為綠線，兩者以 y=x (藍)直線互為鏡像。</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>如右圖， <math>y=e^x</math> 為紅線， <math>y=\ln x</math> 為綠線，兩者以 y=x (藍)直線互為鏡像。</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
</table>
丁志仁
http://nice-learning.net/nlWiki/index.php?title=E&diff=4221&oldid=prev
丁志仁：/* 三、\ln x */
2021-01-03T10:33:48Z
<p><span dir="auto"><span class="autocomment">三、\ln x</span></span></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="zh-Hant-TW">
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">←上個修訂</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">於 2021年1月3日 (日) 10:33 的修訂</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l47" >行 47：</td>
<td colspan="2" class="diff-lineno">行 47：</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===三、<math>\ln x</math>===</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===三、<math>\ln x</math>===</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/4/4a/Log_(2).svg' width=<del class="diffchange diffchange-inline">110px </del>height=*/></div></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/4/4a/Log_(2).svg' width=<ins class="diffchange diffchange-inline">120px </ins>height=*/></div></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math>y=e^x</math>，這是給定指數大小，求出次方值。<br/>如果 x,y 對調，<br/>變成給定次方值，求出指數大小：<br/><math>x=e^y</math> 稱 <math>\ln x=y</math> 即 <math>y=\ln x</math> 。<br/>圖形如下：</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math>y=e^x</math>，這是給定指數大小，求出次方值。<br/>如果 x,y 對調，<br/>變成給定次方值，求出指數大小：<br/><math>x=e^y</math> 稱 <math>\ln x=y</math> 即 <math>y=\ln x</math> 。<br/>圖形如下：</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<!-- diff cache key nlWiki-wiki_:diff::1.12:old-4220:rev-4221 -->
</table>
丁志仁
http://nice-learning.net/nlWiki/index.php?title=E&diff=4220&oldid=prev
丁志仁：/* 三、\ln x */
2021-01-03T10:33:29Z
<p><span dir="auto"><span class="autocomment">三、\ln x</span></span></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="zh-Hant-TW">
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">←上個修訂</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">於 2021年1月3日 (日) 10:33 的修訂</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l47" >行 47：</td>
<td colspan="2" class="diff-lineno">行 47：</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===三、<math>\ln x</math>===</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===三、<math>\ln x</math>===</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/4/4a/Log_(2).svg' width=<del class="diffchange diffchange-inline">100px </del>height=*/></div></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/4/4a/Log_(2).svg' width=<ins class="diffchange diffchange-inline">110px </ins>height=*/></div></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math>y=e^x</math>，這是給定指數大小，求出次方值。<br/>如果 x,y 對調，<br/>變成給定次方值，求出指數大小：<br/><math>x=e^y</math> 稱 <math>\ln x=y</math> 即 <math>y=\ln x</math> 。<br/>圖形如下：</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math>y=e^x</math>，這是給定指數大小，求出次方值。<br/>如果 x,y 對調，<br/>變成給定次方值，求出指數大小：<br/><math>x=e^y</math> 稱 <math>\ln x=y</math> 即 <math>y=\ln x</math> 。<br/>圖形如下：</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<!-- diff cache key nlWiki-wiki_:diff::1.12:old-4219:rev-4220 -->
</table>
丁志仁
http://nice-learning.net/nlWiki/index.php?title=E&diff=4219&oldid=prev
丁志仁：/* 三、\ln x */
2021-01-03T10:32:50Z
<p><span dir="auto"><span class="autocomment">三、\ln x</span></span></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="zh-Hant-TW">
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">←上個修訂</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">於 2021年1月3日 (日) 10:32 的修訂</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l47" >行 47：</td>
<td colspan="2" class="diff-lineno">行 47：</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===三、<math>\ln x</math>===</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===三、<math>\ln x</math>===</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/4/4a/Log_(2).svg' width=<del class="diffchange diffchange-inline">200px </del>height=*/></div></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/4/4a/Log_(2).svg' width=<ins class="diffchange diffchange-inline">100px </ins>height=*/></div></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math>y=e^x</math>，這是給定指數大小，求出次方值。<br/>如果 x,y 對調，<br/>變成給定次方值，求出指數大小：<br/><math>x=e^y</math> 稱 <math>\ln x=y</math> 即 <math>y=\ln x</math> 。<br/>圖形如下：</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math>y=e^x</math>，這是給定指數大小，求出次方值。<br/>如果 x,y 對調，<br/>變成給定次方值，求出指數大小：<br/><math>x=e^y</math> 稱 <math>\ln x=y</math> 即 <math>y=\ln x</math> 。<br/>圖形如下：</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
</table>
丁志仁
http://nice-learning.net/nlWiki/index.php?title=E&diff=4218&oldid=prev
丁志仁：/* 三、\ln x */
2021-01-03T10:32:12Z
<p><span dir="auto"><span class="autocomment">三、\ln x</span></span></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="zh-Hant-TW">
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">←上個修訂</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">於 2021年1月3日 (日) 10:32 的修訂</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l47" >行 47：</td>
<td colspan="2" class="diff-lineno">行 47：</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===三、<math>\ln x</math>===</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===三、<math>\ln x</math>===</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/<del class="diffchange diffchange-inline">0</del>/<del class="diffchange diffchange-inline">00</del>/<del class="diffchange diffchange-inline">Exp_explog</del>.<del class="diffchange diffchange-inline">png</del>' width=<del class="diffchange diffchange-inline">220px </del>height=<del class="diffchange diffchange-inline">220px</del>/></div></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/<ins class="diffchange diffchange-inline">4</ins>/<ins class="diffchange diffchange-inline">4a</ins>/<ins class="diffchange diffchange-inline">Log_(2)</ins>.<ins class="diffchange diffchange-inline">svg</ins>' width=<ins class="diffchange diffchange-inline">200px </ins>height=<ins class="diffchange diffchange-inline">*</ins>/></div></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math>y=e^x</math>，這是給定指數大小，求出次方值。<br/>如果 x,y 對調，<br/>變成給定次方值，求出指數大小：<br/><math>x=e^y</math> 稱 <math>\ln x=y</math> 即 <math>y=\ln x</math> 。<br/>圖形如下：</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math>y=e^x</math>，這是給定指數大小，求出次方值。<br/>如果 x,y 對調，<br/>變成給定次方值，求出指數大小：<br/><math>x=e^y</math> 稱 <math>\ln x=y</math> 即 <math>y=\ln x</math> 。<br/>圖形如下：</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"><img src='https://upload.wikimedia.org/wikipedia/commons/4/4a/Log_(2).svg' width=200px height=*/></del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/0/00/Exp_explog.png' width=220px height=220px/></div></ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>如右圖， <math>y=e^x</math> 為紅線， <math>y=\ln x</math> 為綠線，兩者以 y=x (藍)直線互為鏡像。</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>如右圖， <math>y=e^x</math> 為紅線， <math>y=\ln x</math> 為綠線，兩者以 y=x (藍)直線互為鏡像。</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
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丁志仁
http://nice-learning.net/nlWiki/index.php?title=E&diff=4217&oldid=prev
丁志仁：/* 三、\ln x */
2021-01-03T10:30:18Z
<p><span dir="auto"><span class="autocomment">三、\ln x</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">←上個修訂</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">於 2021年1月3日 (日) 10:30 的修訂</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l48" >行 48：</td>
<td colspan="2" class="diff-lineno">行 48：</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===三、<math>\ln x</math>===</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===三、<math>\ln x</math>===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/0/00/Exp_explog.png' width=220px height=220px/></div></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><div style='float:right'><img src='https://upload.wikimedia.org/wikipedia/commons/0/00/Exp_explog.png' width=220px height=220px/></div></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math>y=e^x</math><del class="diffchange diffchange-inline">，這是給定指數大小，求出次方值。如果 </del>x,y <del class="diffchange diffchange-inline">對調，變成給定次方值，求出指數大小：</del><math>x=e^y</math> 稱 <math>\ln x=y</math> 即 <math>y=\ln x</math> <del class="diffchange diffchange-inline">。圖形如下：</del></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math>y=e^x</math><ins class="diffchange diffchange-inline">，這是給定指數大小，求出次方值。<br/>如果 </ins>x,y <ins class="diffchange diffchange-inline">對調，<br/>變成給定次方值，求出指數大小：<br/></ins><math>x=e^y</math> 稱 <math>\ln x=y</math> 即 <math>y=\ln x</math> <ins class="diffchange diffchange-inline">。<br/>圖形如下：</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><img src='https://upload.wikimedia.org/wikipedia/commons/4/4a/Log_(2).svg' width=200px height=*/></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><img src='https://upload.wikimedia.org/wikipedia/commons/4/4a/Log_(2).svg' width=200px height=*/></div></td></tr>
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丁志仁