How do you differentiate #y= 12(x^2-7)^(1/3)#? Calculus Basic Differentiation Rules Chain Rule 1 Answer GiĆ³ Apr 25, 2015 I would use the Chain Rule to deal with the #()^(1/3)#: #y'=12*1/3(x^2-7)^(1/3-1)*2x=8x(x^2-7)^(-2/3)# 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 1488 views around the world You can reuse this answer Creative Commons License