Let-P-x-be-a-polynomial-of-degree-n-with-real-coefficients-Prove-that-k-0-n-P-k-0-k-1-k-0-n-1-k-P-k-1-k-1-

Question Number 106644 by ZiYangLee last updated on 06/Aug/20

Let P (x) be a polynomial of degree n

with real coefficients .

Prove that \underset{k = 0}{\sum^{n}} \frac{P^{(k)} (0)}{(k + 1)!} = \underset{k = 0}{\sum^{n}} \frac{{(- 1)}^{k} P^{(k)} (1)}{(k + 1)!}