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Question Number 42514 by jbm last updated on 27/Aug/18

calculate d(x!)/dx= ?

calculated(x!)/dx=?

Answered by tanmay.chaudhury50@gmail.com last updated on 27/Aug/18

y=x! y=x(x−1)(x−2)(x−3)...1 lny=lnx+ln(x−1)+ln(x−2)+...+1 (1/y)(dy/dx)=(1/x)+(1/(x−1))+(1/(x−2))+... (dy/dx)=x!((1/x)+(1/(x−1))+(1/(x−2))+...)

y=x!y=x(x−1)(x−2)(x−3)...1lny=lnx+ln(x−1)+ln(x−2)+...+11ydydx=1x+1x−1+1x−2+...dydx=x!(1x+1x−1+1x−2+...)

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