Question #7bb02 Calculus Basic Differentiation Rules Chain Rule 1 Answer A08 Feb 17, 2017 Given expression is #y= 3e^x+ 4/(root(3)(x)# #=>y= 3e^x+ 4(x)^(-1/3)# Differentiating #y'= d/dx(3e^x+ 4(x)^(-1/3))# #=>y'= d/dx(3e^x)+ d/dx(4(x)^(-1/3))# #=>y'= 3e^x+ 4xx(-1/3)(x)^(-1/3-1)# #=>y'= 3e^x- 4/3(x)^(-4/3)# #=>y'= 3e^x- 4/(3(x)^(4/3))# #=>y'= 3e^x- 4/(3root(3)(x^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 1469 views around the world You can reuse this answer Creative Commons License