sin^2x 求导3道题求导,都是SIN^n的求导没弄懂,如果能稍微讲下就更好啦sin^2x cos^2(e^x)e^(sin^2x)

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sin^2x 求导3道题求导,都是SIN^n的求导没弄懂,如果能稍微讲下就更好啦sin^2x cos^2(e^x)e^(sin^2x)
sin^2x 求导
3道题求导,都是SIN^n的求导没弄懂,如果能稍微讲下就更好啦
sin^2x
cos^2(e^x)
e^(sin^2x)

sin^2x 求导3道题求导,都是SIN^n的求导没弄懂,如果能稍微讲下就更好啦sin^2x cos^2(e^x)e^(sin^2x)
(sin^2x)' = 2sinx * (sinx)'
= 2sinx * cosx
= sin(2x)
cos^2(e^x) = 2 cos(e^x) * [cos(e^x) ]'
= 2 cos(e^x) *[-sin(e^x)] * (e^x)'
= 2 cos(e^x) *[-sin(e^x)] * e^x
= - sin(2e^x) * e^x
[e^(sin^2x)]' = ( sin^2x)' * e^(sin^2x)
利用第1个的结果
= sin(2x) * e^(sin^2x)
求导的顺序是有复合函数的外层到内层

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