# What is the derivative of the polynomial $f(x)=a_nx^n+a_{n-1}x^{n-1}+\cdots+a_1x+a_0$?
What is the derivative of the polynomial $f(x)=a_nx^n+a_{n-1}x^{n-1}+\cdots+a_1x+a_0$?
$f'(x)=n\,a_nx^{n-1}+(n-1)\,a_{n-1}x^{n-2}+\cdots+a_1$