若f(x)=x(x-1)(x-2)…..(x-100),则f '(0)=____?

问题描述:

若f(x)=x(x-1)(x-2)…..(x-100),则f '(0)=____?

100!

先求f '(X)=____?
f '(X)=(x-1)(x-2)…..(x-100)+X(-1)(x-2)…..(x-100)+…………
后面的都有X……再把X=0代进去就会得到f '(0)=)=(x-1)(x-2)…..(x-100)=100!