Question

How do you find the derivative of `y=e^x*sinx`?

Answer 1

`d/(dx) (e^xsinx) =e^x(sinx+cosx)`

Explanation:

Using the product rule:

`d/(dx) (e^xsinx) = e^x * d/(dx)sinx + d/dx(e^x)*sinx = e^x cosx + e^xsinx = e^x(sinx+cosx)`