Is log(x!) differentiable ? If yes then dlog(x!)/dx = ?
Anshuman Mohanty , 7 Years ago
Grade 12th pass
Differential Calculus> Is log(x!) differentiable ? If yes then d...
1 Answers
Nandana
Last Activity: 7 Years ago
yes , it is …
firstly , d/dx (x!) = Gamma (x+1) ;
take x!= u , then
d/du (log(u)) = 1/u
so , d/dx (log x!) = 1/x!* d/dx(x!)
= Gamma (x+1) /x!
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