$\"\"$

(a)

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

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

$\"\"$

(b)

Graph :

Graph the function and its derivative.

$\"\"$

(c)

Find the critical numbers by applying derivative.

$\"\"$

Equate its derivative to $\"\"$ .

$\"\"$

Therefore the critical numbers are $\"\"$ and $\"\"$ .

$\"\"$

(d)

Consider the test intervals to find the interval of increasing and decreasing.

Test intervals are $\"\"$ , $\"\"$ and $\"\"$ .

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

The function $\"\"$ is increasing on the interval $\"\"$ .

$\"\"$ is positive on the interval $\"\"$ .

The function $\"\"$ is decreasing on the intervals $\"\"$ and $\"\"$ .

$\"\"$ is negative on the intervals $\"\"$ and $\"\"$ .

$\"\"$

(a)

$\"\"$ .

(b)

$\"\"$

(c)

Critical numbers are $\"\"$ and $\"\"$ .

(d)

$\"\"$ is positive on the interval $\"\"$ .

$\"\"$ is negative on the intervals $\"\"$ and $\"\"$ .