How do you find the derivative of #x^3e^x#? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Base e 1 Answer Matt B. Dec 11, 2016 Chain Rule. Solving would follow this process: #d/dx(x^3)*e^x+x^3*d/dx(e^x)# Thus: #d/dx(x^3e^x)=3x^2e^x+x^3e^x# Answer link Related questions What is the derivative of #y=3x^2e^(5x)# ? What is the derivative of #y=e^(3-2x)# ? What is the derivative of #f(theta)=e^(sin2theta)# ? What is the derivative of #f(x)=(e^(1/x))/x^2# ? What is the derivative of #f(x)=e^(pix)*cos(6x)# ? What is the derivative of #f(x)=x^4*e^sqrt(x)# ? What is the derivative of #f(x)=e^(-6x)+e# ? How do you find the derivative of #y=e^x#? How do you find the derivative of #y=e^(1/x)#? How do you find the derivative of #y=e^(2x)#? See all questions in Differentiating Exponential Functions with Base e Impact of this question 20146 views around the world You can reuse this answer Creative Commons License