$\"\"$

(a)

The function $\"\"$ and the interval is $\"\"$ .

Find critical points.

Differentiate on each side with respect to $\"\"$ .

$\"\"$

The critical points exist when $\"\"$ .

Equate $\"\"$ to zero.

$\"\"$

Therefore critical points are $\"\"$ and $\"\"$ .

$\"\"$

The test intervals are $\"\"$ and $\"\"$ .

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

The function is increasing on the intervals $\"\"$ , $\"\"$ and $\"\"$ .

The function is decreasing on the interval $\"\"$ , $\"\"$ .

$\"\"$

(b)

The function $\"\"$ and the interval is $\"\"$ .

From the first derivative test the function $\"\"$ changing from positive to negative at $\"\"$ .

$\"\"$

Relative maximum point is $\"\"$ .

Similarly $\"\"$ has a relative maximum point at $\"\"$ .

From the first derivative test the function $\"\"$ changing from negative to positive at $\"\"$ .

$\"\"$

Relative minimum point is $\"\"$ .

Similarly $\"\"$ has a relative minimum point at $\"\"$ .

$\"\"$

(c)

Graph :

The graph of the function $\"\"$ is

$\"\"$

(a)

The function is increasing on the intervals $\"\"$ , $\"\"$ and $\"\"$ .

The function is decreasing on the interval $\"\"$ , $\"\"$ .

(b)

Relative maximum point is $\"\"$ and $\"\"$ .

Relative minimum point is $\"\"$ and $\"\"$ .

(c)

The graph of the function $\"\"$ is :

$\"\"$ .