$\"\"$

(a)

The function is $\"\"$ .

Find the critical numbers by applying derivative.

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

$\"\"$

Equate the derivative to $\"\"$ .

$\"\"$

Therefore the critical numbers is $\"\"$ .

$\"\"$

(b)

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

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

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

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

$\"\"$

(c)

Use first derivative test to identify all relative extrema.

The function is increasing in the entire interval $\"\"$ , so there are no relative extremes exist.

$\"\"$

(d)

Graph :

Graph the function is $\"\"$ :

$\"\"$

Observe the graph :

The function has critical numbers is $\"\"$ .

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

The function $\"\"$ does not have relative extremes.

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(a) The function has critical numbers is $\"\"$ .

(b) The function $\"\"$ is increasing on the interval $\"\"$ .

(d) Graph of the function is $\"\"$ .

$\"\"$ .