设f(x)可导,求y=f(sin^2x)+sinf^2(x)的导数
问题描述:
设f(x)可导,求y=f(sin^2x)+sinf^2(x)的导数
答
d/dx(f(sin^2(x))+sin(f(x)^2)) = sin(2 x) f'(sin^2(x))+2 f(x) f'(x) cos(f(x)^2)