1.
y'=2f(x)*f'(x)+f'(x^2)*(x^2)'=2f(x)f'(x)+2xf'(x^2).
2.
y'=f'(e^x)e^x+e^f(x)*f'(x).
3.
y'=cosf(x)*f'(x)+f'(sinx)*(sinx)'=f'(x)cosf(x)+cosx*f'(sinx)
4.
y'=f'(x)/f(x)+f'(lnx)*(lnx)'
=f'(x)/f(x)+f'(lnx)/x.
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