$\"\"$

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The functions are $\"\"$ and $\"\"$ .

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The interval is $\"\"$ .

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Mean value theorem:

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The value of $\"\"$ lies on the interval $\"\"$ such that $\"\"$ .

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Here $\"\"$ and $\"\"$ .

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Consider $\"\"$ .

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

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$\"\"$ .

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Consider $\"\"$ .

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

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$\"\"$

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$\"\"$

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Substiute the above result in $\"\"$ .

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$\"\"$

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The value of $\"\"$ is approximately $\"\"$ which lies between $\"\"$ and $\"\"$ .

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$\"\"$

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The value of $\"\"$ is approximately $\"\"$ .