How do you differentiate #f(x)=sin(e^(3x^3-x)) # using the chain rule? Calculus Basic Differentiation Rules Chain Rule 1 Answer ali ergin Jun 2, 2016 #d/(d x) f(x)=e^(3x^3-x) *(9x^2-1)*cos(e^(3x^3-x))*l n (e)# Explanation: #f(x)=sin(e^(3x^3-x))# #d/(d x) f(x)=e^(3x^3-x) *(9x^2-1)*cos(e^(3x^3-x))*l n (e)# 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 1351 views around the world You can reuse this answer Creative Commons License