How do you use the chain rule to differentiate #y=(6-2x)^3#? Calculus Basic Differentiation Rules Chain Rule 1 Answer marfre Mar 3, 2017 #y' = -6(6-2x)^2# Explanation: #y = (6-2x)^3# Use #(u^n)' = n u^(n-1) u'# Let #u = 6-2x#, #u' = -2; n = 3# #y' = 3(6-2x)^2 (-2) = -6(6-2x)^2# 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 1142 views around the world You can reuse this answer Creative Commons License