Find the derivative of the function

Recall that the derivative of a function f at a point x is denoted as .

There basic properties and formula we can apply to simplify a function.

 For the problem we  may apply the Product Rule for derivative:

 Product Rule provides the formula:

then the derivative: .

In the problem, , we let:

and .

Derivative of each function:

 For the other function , we apply derivative of exponential function that follows:  where

Then,

.

We now have: 

Then applying the Product Rule: , we get:

 It can be express in another form.

We can let:

               

               

               

becomes: