“f(x)=(x--1)*(x-2)*(x-3).(x-100)当x=3时,求其导函数.

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“f(x)=(x--1)*(x-2)*(x-3).(x-100)当x=3时,求其导函数.
“f(x)=(x--1)*(x-2)*(x-3).(x-100)当x=3时,求其导函数.

“f(x)=(x--1)*(x-2)*(x-3).(x-100)当x=3时,求其导函数.
ln|f(x)|=∑[1,100]ln|x-k|
f'(x)/f(x)=∑[1,100]1/(x-k)
f'(x)=f(x)∑[1,100]1/(x-k)
f'(3)=(x-1)(x-2)(x-4)...(x-100)
=2*(-1)^97*97!
=-2*97!

(3-1)(3-2)(3-4)(3-5)(3-6)...(3-100)

(3-1)+9bg百度地图