设f(u)为可导函数,求dy/dx:(1) y=f(x^3) ; (2) y=f(e^x+x^e); (3) y=f(e^x)e^_数学解答

设f(u)为可导函数,求dy/dx:(1) y=f(x^3) ; (2) y=f(e^x+x^e); (3) y=f(e^x)e^f(x)

人气：453 ℃　时间：2020-01-27 12:17:24

解答

1.dy/dx=f'(x^3)*3x^2
2.dy/dx=f'(e^x+x^e)*(e^x+ex^(e-1))
3.dy/dx=f'(e^x)*(e^x)e^f(x)+f(e^x)[e^f(x)]*f'(x)