学帮网f(x)=x(x-1)(x-2)(x-3)(x-4) f'(1)=?求详解
来源：学生作业学帮网 编辑：学帮网 时间：2024/05/16 06:51:58
f(x)=x(x-1)(x-2)(x-3)(x-4) f'(1)=?
求详解
f'(1)=lim(x->1)[f(x)-f(1)]/(x-1)
=lim(x->1)[x(x-1)(x-2)(x-3)(x-4)]/(x-1)
=lim(x->1)[x(x-2)(x-3)(x-4)]
=1×（-1）×（-2）×（-3）
=-6
f'(1)=lim(x->1)[f(x)-f(1)]/(x-1)
=lim(x->1)[x(x-1)(x-2)(x-3)(x-4)]/(x-1)
=lim(x->1)[x(x-2)(x-3)(x-4)]
=1×（-1）×（-2）×（-3）
=-6
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