Question

find the derivative

Answer 1

Step 1:

The function is .

The above function is in the form of  composite function .

Definition of composite function:

The notation means that the function is applied first and then is applied.

Assume .

Consider .

From the above expression, .

Step 2:

The function is .

Apply derivative on each side with respect to .

The power rule of derivative : .

The chain rule of derivative : .

.

Solution :

The composite function is .

The inner function is .

The outer function is .

.