设函数f(x)=x(x-1)(x-2)(x-3) ,则f(2)的导数为_____________

过程
2025-01-08 20:03:03
推荐回答(2个)
回答1:

f'(2)
直接用定义算
=lim (x->2) [f(x)-f(2)]/(x-2)
=lim [f(x)-0]/(x-2)
=lim [x(x-1)(x-2)(x-3)]/(x-2)
=lim x(x-1)(x-3)
=2*1*(-1)=-2

回答2: