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f-x-x-x-1-x-2-x-10-f-0-

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Question Number 70891 by Henri Boucatchou last updated on 09/Oct/19
f(x) = x(x−1)(x−2)....(x−10) f ′(0) = ?
f(x)=x(x−1)(x−2)….(x−10)f′(0)=?
Commented by kaivan.ahmadi last updated on 09/Oct/19
let g(x)=(x−1)(x−2)...(x−10)⇒f(x)=xg(x) ⇒f′(x)=g(x)+xg′(x)⇒ f′(0)=g(0)+0=g(0)=(−1)(−2)...(−10)=10!
letg(x)=(x−1)(x−2)…(x−10)⇒f(x)=xg(x)⇒f′(x)=g(x)+xg′(x)⇒f′(0)=g(0)+0=g(0)=(−1)(−2)…(−10)=10!
Commented by Prithwish sen last updated on 09/Oct/19
Excellent Sir.
ExcellentSir.

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