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Grade 12th PassDifferential Calculus

find the derivative of x!

Profile image of rajeev  bajaj
13 Years agoGrade 12th Pass
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1 Answer

Profile image of ruchi yadav
12 Years ago
The factorial is only defined on the natural numbers, and there is no sensible way to take a derivative of any function on the naturals. in fact, all of calculus rests on certain axioms that only the real numbers satisfy.

however, there is a function defined on the reals that agrees with the factorial at integer values. it is called the gamma function. it is integrable and derivable.

Thank You

Ruchi

Askiitians Faculty