What is the derivative of ##e^x(sinx)##?

##e^x(cosx+sinx)##

Since this is a product of 2 functions we may apply the which states that the derivative of a product of 2 functions is the first function times the derivative of the second, plus the second function times the derivative of the first.

##therefored/dx e^xsinx=e^xcosx+e^xsinx##