What is the derivative of x factorial?

[Emmanuel_Euler]

I think Wolfram is computing the derivative of the Gamma function, not of x!

Please read this=

https://en.m.wikipedia.org/?title=Gamma_function

 

[micromass]

Please read this=

https://en.m.wikipedia.org/?title=Gamma_function

Read what exactly? What are you trying to make clear?

 

[phion]

Whenever I read an article from Wikipedia there always ends up being ten more tabs opened in my browser or something ridiculous.

 

[Emmanuel_Euler]

Read what exactly? What are you trying to make clear?

I think that WWGD should read the article!
because he did not know that the gamma Function can write it as X!.
this is my point.

 

[micromass]

I think that WWGD should read the article!
because he did not know that the gamma Function can write it as X!.
this is my point.

Don't worry, WWGD knows the connection between the Gamma function and the functorial pretty well. I guess you are missing his point: the Gamma function can not be written in function of the factorial. Yes, it is true that $\Gamma(n) = (n-1)!$, but this is only for positive integers $n$. For nonintegers, we do not have that relationship since the factorial is not defined for non-integers. By definition, the factorial is a function $\mathbb{N}\rightarrow \mathbb{N}$. There are many extensions of this, only one of them is given by a Gamma function.
The derivative of $n\rightarrow n!$ is undefined.

 

[Emmanuel_Euler]

Thank you for explaining.
You was right about me.
i missed his point.