The function is
.
Differentiate on each side with respect to
.

Derivative of a inverse trigonometric function:
.
Derivative of a inverse trigonometric function:
.

To find the relative extrema, solve
.

Squaring on each sides.
\
Let
.

The above equation is in the form of a quadratic equation
.
The roots of the quadratic equation is
.
Compare
with
.


Substitute
in above value.
.

The negative root is not considered since,
can not be negative.
.
Substitute
in
.

The point is
.
Substitute
in
.
The point is
.

Derivative on each side with respect to
.

Identify the nature of the extrema points.
\| Point | \Sign of ![]() | \
Conclusion | \
![]() | \
\
| \
Relative minimum | \
![]() | \
\
| \
Relative maximum | \
The relative maximum point is
.
The relative minimum point is
.
The relative maximum point is
.
The relative minimum point is
.