设f(x)可导,且y=f(x²)+f[f(x)],求dy/dx

来源：学生作业帮助网编辑：六六作业网时间：2024/07/05 22:55:44

设f(x)可导,且y=f(x²)+f[f(x)],求dy/dx设f(x)可导,且y=f(x²)+f[f(x)],求dy/dx设f(x)可导,且y=f(x²)+f[f(x)

设f(x)可导,且y=f(x²)+f[f(x)],求dy/dx
设f(x)可导,且y=f(x²)+f[f(x)],求dy/dx

y=f(x²)+f[f(x)]
y=f'(x²)*(x²)'+f'[f(x)]*f'(x)
=2x*f'(x²)+f'(x)*f'[f(x)]