大一高数的一道导数问题
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大一高数的一道导数问题
后面那个是答案,
![](http://img.wesiedu.com/upload/7/81/78173f0bd323df168ecbba5e6b930f6a.jpg)
![大一高数的一道导数问题](/uploads/image/z/17344164-12-4.jpg?t=%E5%A4%A7%E4%B8%80%E9%AB%98%E6%95%B0%E7%9A%84%E4%B8%80%E9%81%93%E5%AF%BC%E6%95%B0%E9%97%AE%E9%A2%98)
dy={sin²[f(e^x)]} '
=2sin[f(e^x)]*{sin[f(e^x)]} '
=2sin[f(e^x)]*cos[f(e^x)]*[f(e^x)] '
=2sin[f(e^x)]*cos[f(e^x)]*f '(e^x)*(e^x) '
=2sin[f(e^x)]*cos[f(e^x)]*f '(e^x)*(e^x)
=sin2[f(e^x)]*f '(e^x)*e^x
=2sin[f(e^x)]*{sin[f(e^x)]} '
=2sin[f(e^x)]*cos[f(e^x)]*[f(e^x)] '
=2sin[f(e^x)]*cos[f(e^x)]*f '(e^x)*(e^x) '
=2sin[f(e^x)]*cos[f(e^x)]*f '(e^x)*(e^x)
=sin2[f(e^x)]*f '(e^x)*e^x