Question

What is differentiation of factorial x ?

Answer 1

Answer:

By default, we can assume that the factorial function is only defined for whole numbers. That is, the domain of the factorial function is the set

{

0

,

1

,

2

,

3

,

…

}

. This implies that the factorial function is not continuous in any interval. Since a function is differentiable over an interval if and only if the function is continuous over that interval, then the factorial function is not differentiable at any interval. That is, the derivative of factorial of

x

does not exist