f(x)=(x-1)(x-2)(x-3).(x-99)(x-100)求f(1)的导数

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/05 05:05:29
f(x)=(x-1)(x-2)(x-3).(x-99)(x-100)求f(1)的导数

f(x)=(x-1)(x-2)(x-3).(x-99)(x-100)求f(1)的导数
f(x)=(x-1)(x-2)(x-3).(x-99)(x-100)求f(1)的导数

f(x)=(x-1)(x-2)(x-3).(x-99)(x-100)求f(1)的导数
f′(x)=(x-1)′[(x-2)(x-3)(x-4)……(x-100)]+(x-1)[(x-2)(x-3)(x-4)……(x-100)]′ f(x=1)=1×[(-1)(-2)(-3)……(-99)]+(1-1)[(x-2)(x-3)(x-4)……(x-100)]′ =-99!