How do you find the derivative of f(x)= (x^3)(e^(2x))? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Base e 1 Answer Carl S. Mar 31, 2018 dy/dx = x^2e^{2x}(3+2x) Explanation: Product rule d/dx[uv] = {du}/dx v + {dv}/dx u u=x^3 v=e^{2x} dy/dx = d/dx[x^3]e^{2x}+d/dx[e^{2x}]x^3 dy/dx = 3x^2e^{2x}+2e^{2x}x^3 dy/dx = x^2e^{2x}(3+2x) 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 5765 views around the world You can reuse this answer Creative Commons License