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(a)

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

Find critical points.

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

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$\"\"$ .

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

Equate $\"\"$ to zero.

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

$\"\"$

The 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 $\"\"$ .

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

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Relative minimum point is $\"\"$ .

$\"\"$

(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 $\"\"$ .

Relative minimum point is $\"\"$ .

(c)

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

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