What is the derivative of #x^3-12x#? Calculus Basic Differentiation Rules Power Rule 1 Answer Monzur R. Dec 21, 2016 #3x^2-12# Explanation: The derivative of #ax^n# is #anx^(n-1)#. Using this rule on each term in this expression separately gives us its derivative. #x^3 rarr3x^2# #12x rarr 12# Answer link Related questions How do you find the derivative of a polynomial? 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)#? See all questions in Power Rule Impact of this question 3135 views around the world You can reuse this answer Creative Commons License