f(x),g(x)可导求下列函数的导数 1）y=f(x+e的-x次幂) 2）y=f(e的x次幂）× e的g(x)次幂 3）y=[xf(x²)

(1)y=f(x+e^(-x))y'=f'(x+e^(-x))*(1-e^(-x))(2)y'=f'(e^x)*(e^x)*e^(g(x))+f(e^(x))*e^(g(x))*g'(x)==e^g(x)(f'(e^x)*e^g(x)+f(e^x)*g'(x))(3)如果y=xf(x^2)那么y'=f(x^2)+2x^2*f'(x^2)