What is the derivative of (x^2+x)^2(x2+x)2? Calculus Basic Differentiation Rules Chain Rule 1 Answer Gió May 21, 2015 I would use the Chain Rule to derive the ()^2()2 first and then the argument as in: y'=2(x^2+x)^(2-1)*(2x+1)=2(x^2+x)(2x+1)=2x(x+1)(2x+1) Answer link Related questions What is the Chain Rule for derivatives? How do you find the derivative of y= 6cos(x^2) ? How do you find the derivative of y=6 cos(x^3+3) ? How do you find the derivative of y=e^(x^2) ? How do you find the derivative of y=ln(sin(x)) ? How do you find the derivative of y=ln(e^x+3) ? How do you find the derivative of y=tan(5x) ? How do you find the derivative of y= (4x-x^2)^10 ? How do you find the derivative of y= (x^2+3x+5)^(1/4) ? How do you find the derivative of y= ((1+x)/(1-x))^3 ? See all questions in Chain Rule Impact of this question 1426 views around the world You can reuse this answer Creative Commons License