f(x)=(x^n+x^(n-1)-x^(n-1)-x^(n-2)+x^(n-2)+x^(n-3)-...+(-1)^(n-1)*x+(-1)^(n-1)-(-1)^(n-1))/(x+1)=x^(n-1)-x^(n-2)+x^(n-3)-...+(-1)^(n-1)+(-1)^n/(x+1)所以f^(n)(x)=[(-1)^n/(x+1)]^(n)=(-1)^n*(-1)^n*n!/(x+1...
f(x)=x^n/（1+x）.其n阶导数怎么求,
f(x)=(x^n+x^(n-1)-x^(n-1)-x^(n-2)+x^(n-2)+x^(n-3)-...+(-1)^(n-1)*x+(-1)^(n-1)-(-1)^(n-1))/(x+1)=x^(n-1)-x^(n-2)+x^(n-3)-...+(-1)^(n-1)+(-1)^n/(x+1)所以f^(n)(x)=[(-1)^n/(x+1)]^(n)=(-1)^n*(-1)^n*n!/(x+1...