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(a)

The function is $\"\"$ .

Find the critical numbers by applying derivative.

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

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Equate the derivative to $\"\"$ .

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

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(b)

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

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

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

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

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(c)

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

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(d)

Graph :

Graph the function is $\"\"$ .

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Observe the graph :

The critical numbers is $\"\"$ .

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

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

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(a)

The critical numbers is $\"\"$ .

(b)

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

(c)

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

(d)

Graph of the function is $\"\"$ .

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