复合函数求导：设f(x)可导,g(x)=根号下{1+[sinf(x)]^2},g(x)求导

题目

复合函数求导：设f(x)可导,g(x)=根号下{1+[sinf(x)]^2},g(x)求导

答案

g'(x)
=1/2/√{1+[sinf(x)]^2}*2sinf(x)cosf(x)f'(x)
=sinf(x)cosf(x)f'(x)/√{1+[sinf(x)]^2}