若函数f(x)=(x-1)(x-2)(x-3)...(x-2013) 则f′(2013)=____

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/19 12:28:05
若函数f(x)=(x-1)(x-2)(x-3)...(x-2013) 则f′(2013)=____
x){ѽigS7iThjTj #ak*<혙ag6IE/ mHG c VRR3 ,VG)IB,J QZFZ`E<;gLi:

若函数f(x)=(x-1)(x-2)(x-3)...(x-2013) 则f′(2013)=____
若函数f(x)=(x-1)(x-2)(x-3)...(x-2013) 则f′(2013)=____

若函数f(x)=(x-1)(x-2)(x-3)...(x-2013) 则f′(2013)=____
记g(x)=(x-1)(x-2)..(x-2012)
则f(x)=g(x)(x-2013)
f'(x)=g'(x)(x-2013)+g(x)
f'(2013)=g(2013)=2012*2011*...*2*1=2012!