Find the derivative of
.
Apply derivative on each side with respect to
.

Chain rule of derivative:
.
Derivative of inverse cosine function :
.

.

The domain of the function
:
Domain of cosine function is
.



The domain of the function
is
.
Consider
.
The domain of the function is
.

The domain of the function
is
.
The domain of the function
is
.
The domain of the function
is
.