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^(
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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)
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^(](/uploads/image/z/3135065-41-5.jpg?t=sin%5E2x+%E6%B1%82%E5%AF%BC3%E9%81%93%E9%A2%98%E6%B1%82%E5%AF%BC%2C%E9%83%BD%E6%98%AFSIN%5En%E7%9A%84%E6%B1%82%E5%AF%BC%E6%B2%A1%E5%BC%84%E6%87%82%2C%E5%A6%82%E6%9E%9C%E8%83%BD%E7%A8%8D%E5%BE%AE%E8%AE%B2%E4%B8%8B%E5%B0%B1%E6%9B%B4%E5%A5%BD%E5%95%A6sin%5E2x+cos%5E2%28e%5Ex%29e%5E%28)
(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
= 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
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^(
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