设F(x)可导,y=f(x^2),则dy/dx=?

问题描述:

设F(x)可导,y=f(x^2),则dy/dx=?

你好!
dy/dx = [f(x^2)]' =f'(x^2) *(x^2)' = 2xf'(x)

根据复合函数求导法则
dy/dx = [f(x^2)]' =f'(x^2) *(x^2)' = 2xf'(x)