设f(x)可导,且y=f(x²)+f[f(x)],求dy/dx
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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)],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)]