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 6896 views around the world You can reuse this answer Creative Commons License