Hello i'm new, i study Econometrics and i have some questions.

I am studying for my exams, and i had several exercises about computing the nth derivative. I totally don't know how to solve it (the last step).

Example:

Let n be given in neutral numbers (dunno how to type it correctly).

Let and write for the derivative of the function F. Compute by applying the Binomial Theorem to

I finished until the part that i had the Binomial theorem worked out. But then the last step i totally don't get.

It has to be something with factorial this and factorial that...

Some other exercises would be:

or calculate the derivative of F.