How do you use the chain rule to differentiate #y=4(x^2-7x+3)^(-3/4)#? Calculus Basic Differentiation Rules Chain Rule 1 Answer Bdub Nov 1, 2016 #y'=(-3(2x-7))/(x^2-7x+3)^(7/4) = (-6x+21)/(x^2-7x+3)^(7/4) # Explanation: #y=4(x^2-7x+3)^(-3/4)# #y'=-3(x^2-7x+3)^(-7/4)*(2x-7)# #y'=(-3(2x-7))/(x^2-7x+3)^(7/4) = (-6x+21)/(x^2-7x+3)^(7/4) # 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 1035 views around the world You can reuse this answer Creative Commons License