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 .
.