This is the technique my Prof used to prove the Power Rule for Derivatives. Would someone mind taking me step by step as to how I would do so? I would really appreciate it.

Quote (My Prof):
I used the factorization of A^n-B^n=(A-B)(A^{n-1}+A^{n-2}B+A^{n-3}B^2+.... +A B^{n-2}+B^{n-1}).

This is the technique my Prof used to prove the Power Rule for Derivatives. Would someone mind taking me step by step as to how I would do so? I would really appreciate it.

Quote (My Prof):
I used the factorization of A^n-B^n=(A-B)(A^{n-1}+A^{n-2}B+A^{n-3}B^2+.... +A B^{n-2}+B^{n-1}).

@Mathematics

Question

This is the technique my Prof used to prove the Power Rule for Derivatives. Would someone mind taking me step by step as to how I would do so? I would really appreciate it.

Quote (My Prof):
I used the factorization of A^n-B^n=(A-B)(A^{n-1}+A^{n-2}B+A^{n-3}B^2+.... +A B^{n-2}+B^{n-1}).

This is the technique my Prof used to prove the Power Rule for Derivatives. Would someone mind taking me step by step as to how I would do so? I would really appreciate it.

Quote (My Prof):
I used the factorization of A^n-B^n=(A-B)(A^{n-1}+A^{n-2}B+A^{n-3}B^2+.... +A B^{n-2}+B^{n-1}).

@Mathematics