Question

Question #22513

Answer 1

`e^sinx(cosx)`

Explanation:

The derivative of `e^x` is itself.

But since its `x` has a function in it we apply the chain rule.
Where we take the derivative of the outside and then multiply it by the derivative of the inside.

Where `e^sinx` is our outside and `sinx` is our inside.

The derivative of `sinx` is `cosx`

Put them together and you get:

`e^sinx(cosx)`