\"\"

\

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.

\ \
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
PointSign 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 \"\".