Question

What is the derivative of `(e^(2x)sin(3x))`?

Answer 1

I would use the Product Rule between functions `e` and `sin` 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)]`