step 1:

The function is $\"\"$ .

Apply derivative on each side with respect to $\"\"$ .

$\"\"$

$\"\"$ . \ \

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

$\"\"$

$\"\"$ .

Hence, the critical values of $\"\"$ are $\"\"$ and $\"\"$ .

substitute $\"\"$ in $\"\"$ .

$\"\"$

$\"\"$ . \ \

The point is $\"\"$ .

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

$\"\"$

$\"\"$ . \ \

The point is $\"\"$ .

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

Using second derivative test, determine the relative extrema.

$\"\"$

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

$\"\"$

$\"\"$ .

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

The relative maximum at $\"\"$ .

The relative minimum at $\"\"$ .

Solution:

The relative maximum at $\"\"$ .

The relative minimum at $\"\"$ .