设f(x)可导,且y=f(x²)+f[f(x)],求d(y)÷d(x)

如题所述

解:
dy/dx=y'
=f'(x²)·(x²)'+f'[f(x)]·f'(x)
=2xf'(x²)+f'[f(x)]·f'(x)
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