设fx为二阶可导函数,求y=f(f(x))的二阶导数

y=f(f(x))
2024-11-05 22:44:18
推荐回答(2个)
回答1:

y'=f'(f(x))f'(x)
y''=f''(f(x)))(f'(x))^2+f'(f(x))f''(x)

回答2:

解:
已知:y=f(f(x))
有:y'=f'(f(x))·f'(x)
则:y''=(y')'=[f'(f(x))·f'(x)]'=f''(f(x))·f'(x)+f'(f(fx))·f''(x)
即:y''=f''(f(x))·f'(x)+f'(f(fx))·f''(x)