How do you find the derivative of a polynomial? Calculus Basic Differentiation Rules Power Rule 1 Answer Wataru Oct 17, 2014 If f(x)=a_nx^n+a_{n-1}x^{n-1}+cdots+a_1x+a_0, then f'(x)=na_n x^{n-1}+(n-1)a_{n-1} x^{n-2}+cdots+2a_2x+a_1. I hope that this was helpful. Answer link Related questions How do you find the derivative of y =1/sqrt(x)? How do you find the derivative of y =4/sqrt(x)? How do you find the derivative of y =sqrt(2x)? How do you find the derivative of y =sqrt(3x)? How do you find the derivative of y =sqrt(x)? How do you find the derivative of y =sqrt(x) using the definition of derivative? How do you find the derivative of y =sqrt(3x+1)? How do you find the derivative of y =sqrt(9-x)? How do you find the derivative of y =sqrt(x-1)? How do you find the derivative of y =sqrt(1-x^2)? See all questions in Power Rule Impact of this question 7905 views around the world You can reuse this answer Creative Commons License