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 3583 views around the world You can reuse this answer Creative Commons License