大一高数的一道导数问题后面那个是答案,

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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