5.1 三角函數微分

 

首頁
5.1 三角函數微分
5.2反三角函數微分

 

     

5-1三角函數之微分                               

  講義           教學影音檔        進階題-題目        進階題-答案        考古題-題目      考古題-答

 

一、正弦函數之微分

 

二、餘弦函數之微分


 

三、其它三角函數之微分


 

1.=?

 

解答:       

                微分公式


 

2.=?

 

解答:     

        

 


 

3.=?

 

 解答:


 

4.=?

 

          


 

5.

  解答:   

            

 

 

 

 

6.      Find  for .

 

解答:

     Differentiating both sides of the equation with respect to , we obtain

                 .

     .

 

 

7.      Find  for .

 

解答:

    

        .

 

 

8.      Find  for .

 

解答:

     Take the logarithm of both sides of the equation .

     We obtain .

     Differentiating both sides with respect to ,

              .

    

           .

 

 

9.      Find  for .

 

解答:

     Differentiating both sides of the equation with respect to , we obtain

              .

      .

 

 

10.      Find the value of  at  if  and .

 

解答:

    

       

        .

     Substituting  and , we obtain

               .

 

首頁 | 5.1 三角函數微分 | 5.2反三角函數微分