$\"\"$

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

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Find $\"\"$ by using logarithm differentiation.

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$\"\"$

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Apply natural log on each side.

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$\"\"$

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Apply logarithm quotient rule: $\"\"$ .

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$\"\"$

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Apply logarithm product rule: $\"\"$ .

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$\"\"$

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

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$\"\"$ .

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$\"\"$

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$\"\"$

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

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$ .