$\"\"$

\

The function is $\"\"$ , $\"\"$ .

\

Apply first derivative with respect to $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Find the relative extrema, by equating $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

The general solution of sine function $\"\"$ is $\"\"$ .

\

Where $\"\"$

\

Then, $\"\"$

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Therefore $\"\"$ and $\"\"$ are the solution in the given interval.

\

So the critical values of $\"\"$ are $\"\"$ and $\"\"$ .

\

$\"\"$

\

Now, substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Now, substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

The relative extrema points are $\"\"$ and $\"\"$ .

\

$\"\"$

\

Using the second derivative test.

\

Apply second derivative with respect to $\"\"$ .

\

$\"\"$

\

$\"\"$

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Point	$\"\"$	$\"\"$
Sign of $\"\"$	\ $\"\"$ \	\ $\"\"$ \
Conclusion	Neither	Neither

\

$\"\"$

\

Therefore $\"\"$ does not have any relative extrema. $\"\"$