Find the derivative of the function

The derivative of y in terms of x is denoted by  or

 For the given problem: , we may apply the basic differentiation property:

Then the derivative of the function can be set-up as:

For the derivative of , we apply the Product Rule:

The derivative of y in terms of x is denoted by  or

 For the given problem: , we may apply the basic differentiation property:

Then the derivative of the function can be set-up as:

For the derivative of , we apply the Product Rule: .

.

Let then

    then

Note:

Then,

For the derivative of  , we apply the basic derivative property:

.

Then,

Apply the basic derivative formula for natural logarithm function: .

 Let then

                             

Combining the results, we get: