Step 1:

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The function is $\"\"$ . \ \

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Apply derivative on each side with respect to x .

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$\"\"$

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Product rule of derivatives : $\"\"$

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$\"\"$

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Apply the power rule: $\"\"$ .

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$\"\"$

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$\"\"$

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To find the critical numbers of $\"\"$ , equate $\"\"$ to zero.

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$\"\"$

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$\"\"$ is in the region $\"\"$ .

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Critical point is in the given region is $\"\"$ .

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$\"\"$

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To find the absolute extreme of function in given region $\"\"$ .

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Substitute Left end point $\"\"$ in $\"\"$ .

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$\"\"$

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Substitute right end point 2 in $\"\"$ .

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$\"\"$

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Left end point $\"\"$ is minimum point over the interval $\"\"$ .

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Critical point $\"\"$ is maximum point over the interval $\"\"$ .

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$\"\"$

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Minimum point is $\"\"$ .

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Maximum point is $\"\"$ .