$\"\"$

(a)

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

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

$\"\"$

$\"\"$ .

$\"\"$

$\"\"$ .

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

$\"\"$ .

$\"\"$

$\"\"$ .

$\"\"$

(b)

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

$\"\"$

$\"\"$ and $\"\"$ and $\"\"$

$\"\"$ and $\"\"$ .

The critical values of $\"\"$ and $\"\"$ .

Substitute $\"\"$ in the function.

$\"\"$ .

The point is $\"\"$ .

Substitute $\"\"$ in the function.

Then, $\"\"$ .

$\"\"$ .

The point is $\"\"$ .

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

$\"\"$

The point is $\"\"$ .

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

\ \

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

To determine the inflection point is $\"\"$ .

$\"\"$ .

$\"\"$

The inflection points occurs at $\"\"$ , $\"\"$ , and $\"\"$ .

$\"\"$

(c)

Sketch the function $\"\"$ , $\"\"$ and $\"\"$ .

$\"\"$

(a) $\"\"$ .

$\"\"$ .

(b)

The relative maximum in $\"\"$ .

The relative minimum in $\"\"$ .

The inflection points occurs at $\"\"$ , $\"\"$ , and $\"\"$ .

(c)

$\"\"$ .