f(x)=(x-1)e^x-1,则f'(x)=x-1为e的指数

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f(x)=(x-1)e^x-1,则f'(x)=x-1为e的指数
f(x)=(x-1)e^x-1,则f'(x)=
x-1为e的指数

f(x)=(x-1)e^x-1,则f'(x)=x-1为e的指数
f(x)=(x-1)e^(x-1)
f'(x)=e^(x-1)+(x-1)e^(x-1)
=xe^(x-1)

f'(x)=(x-1)'*e^(x-1)+(x-1)*[e^(x-1)]'
=e^(x-1)+(x-1)e^(x-1)
=xe^(x-1)

解
f'(x)=[(x-1)e^(x-1)]'
=(x-1)'e^(x-1)+(x-1)[e^(x-1)]'
=e^(x-1)+(x-1)e^(x-1)(x-1)'
=e^(x-1)+(x-1)e^(x-1)
=xe^(x-1)

f(e^x)=x,则f(1)*f(e)+f(e^2)等于多少? f(2x+1)=e^x,求f(x) 有一个函数f(x),f(x)=f'(x),f(0)=1,证明：f(x)=e^x 求导：f(x)=(e^x+1)/e^x 若f(x)=(x-1)*e^(x-1),则f’(x)怎么求若f(x)=e^x+x^2-3x-1,则f'(0)是多少 f(x)=x(e^x-1)-1/2 x 设f(x)=e^(-x),则lim(x趋向于0) (f ' (1-2x)-f '(1)) / x f(x)=e^x/(x-1)对x求导 F(X)=(e^1/x-e^-1/x)/(e^1/x+e^1/x)如何设f(x){e^(1/x),x f(x)=e^()2x-2x.则f'(x)/(e^x-1)等于多少f(x)=e^(2x)-2x.则f'(x)/(e^x-1)等于多少 f（x）=lnx+∫(1,e)f(x)dx-f '(1) ,求f(x) f（x）=lnx+∫(1,e)f(x)dx-f '(1) ,求f(x) 若f(x)=e^x/1+e^x+x∫f(x)dx 求f(x)= f(x)=(x-1)e^x-1,则f'(x)=x-1为e的指数若f(x)等于1/2(e^x-e^-x),g(x)=1/2(e^x+e^-x),则f(2x)等于设f（e^x）=e^2x+e^x+1,则f（x+1）=