Math CentralQuandaries & Queries


Question from Sang, a teacher:

How to find the derivative of x! and integral of x!

Hi Sang,

$y = f(x) = x!$ is not a differentiable function so it has no derivative. It also has no integral. The domain of $f(x) = x!$ is all non-negative integers. Its graph looks like

f(x) = x!

$f(4) = 4! = 24, f(5) = 120$ and so on.

I hope this helps,

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