How do you differentiate #f(x)=4(x^2 + 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 1366 views around the world You can reuse this answer Creative Commons License