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         <h5 class="t1">初等函数微分表</h5>


      
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        <th  width="200px" >初等函数</th>
        <th width="200px" >初等函数</th>
   
    </tr>

       <tr>
        <td>
           <math> \left( C \right) '= 0 </math>
        </td>

          <td>
               <math> \left( x^{ \mu }\right) ^{'}= \mu x^{\mu-1}</math>
        </td>

    </tr>


    <tr>
        <td>
           <math> \left( \sin x\right) '=\cos x </math>
        </td>

          <td>
          <math>\left( \cos x\right) '=- \sin x</math>
        </td>

    </tr>


    <tr>
        <td>
            <math>  \left( \tan x \right) '= \sec^2 x</math>
        </td>

         <td>
            <math> \left( \cot x \right) '=- \csc^2  x  </math>
        </td>
    </tr>




      <tr>
        <td>
            <math> \left( \sec x \right) '= \sec x \tan x  </math>
        </td>

         <td>
            <math> \left( \csc x \right) '=- \csc x \cot x  </math>
        </td>
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    <tr>
        <td>
            <math>  \left( a^{x}\right) ^{'}=a^{x}\ln a </math>
        </td>

         <td>
            <math> \left( e^{x}\right) ^{'}=e^{x}   </math>
        </td>
    </tr>





    
    <tr>
        <td>
            <math> \left( \log _{a}^{x}\right) ^{'}=\dfrac{1}{x\ln a}  </math>
        </td>

         <td>
            <math> \left( \ln x\right) ^{'}=\dfrac{1}{x}  </math>
        </td>
    </tr>



    
    <tr>
        <td>
            <math> \left( \arcsin x\right) ^{'} =\dfrac{1}{\sqrt{1-x^{2}}}  </math>
        </td>

         <td>
            <math> \left( \arccos x\right) =- \dfrac{1}{\sqrt{1-x^{2}}}  </math>
        </td>
    </tr>



    <tr>
        <td>
            <math> \left( \arctan x\right) ^{'} =\dfrac{1}{1+x^{2}}  </math>
        </td>

         <td>
            <math> \left( arccot x \right) ^{'}=-\dfrac{1}{1+x^2}   </math>
        </td>
    </tr>

    </table>
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