How do you differentiate f(x)=4(x^2 + x - 1)^10 f(x)=4(x2+x−1)10 using the chain rule? Calculus Basic Differentiation Rules Chain Rule 1 Answer Sonnhard May 25, 2018 f'(x)=40(x^2+x-1)^9(2x+1) Explanation: We used that (x^n)'=nx^{n-1} and that (x^2+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 1415 views around the world You can reuse this answer Creative Commons License