Question

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

Answer 1

`e^x(cosx+sinx)`

Explanation:

Since this is a product of 2 functions we may apply the product rule 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`