Question #4499e Calculus Basic Differentiation Rules Chain Rule 1 Answer Archish R. Dec 11, 2017 #2916x^14+3888x^11+1944x^8+432x^5+36x^2# Explanation: #dy/dx=(3x^3+1)^4# let z be #3x^3+1# #dy/dx=d/dx(z^4)*dz/dx# #= 4z^3*(9x^2)# #= 36(3x^3+1)^4*x^2# #=2916x^14+3888x^11+1944x^8+432x^5+36x^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 1271 views around the world You can reuse this answer Creative Commons License