What is the derivative of (e^(2x)sin(3x))(e2xsin(3x))? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Base e 1 Answer GiĆ³ Mar 29, 2015 I would use the Product Rule between functions ee and sinsin and the Chain Rule to deal with the exponent and argument: f'(x)=2e^(2x)sin(3x)+e^(2x)3cos(3x)= =e^(2x)[2sin(3x)+3cos(3x)] 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 10550 views around the world You can reuse this answer Creative Commons License