Derivative formula, proof
The basic formula of differentiation. Here, we see only when n is a natural number.
Proof for n = 1
Proof for n = 2
Proof for n = 3
Proof for n > 3
We make a big detour for it.
Change the following equations more simply.
Also we see permutation without repetition, combination without repetition and the binomial theorem of Newton.
Proof for n > 3 of the basic formula of differentiation.
