How do you find the derivative of y=x(x^2+1)? Calculus Basic Differentiation Rules Power Rule 1 Answer Andrea S. Dec 30, 2016 (dy)/(dx) = 3x^2+1 Explanation: As: y=x(x^2+1) = x^3+x we have: (dy)/(dx) = 3x^2+1 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 1909 views around the world You can reuse this answer Creative Commons License