$\"\"$ \ \

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The function is $\"\"$ , $\"\"$ is a real number $\"\"$ . \ \

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Find the rate of change of $\"\"$ . \ \

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$\"\"$

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

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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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(a) \ \

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Find the rate of change of $\"\"$ when $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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The rate of change of $\"\"$ when $\"\"$ is $\"\"$ .

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(b) \ \

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Find the rate of change of $\"\"$ when $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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The rate of change of $\"\"$ when $\"\"$ is $\"\"$ .

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$\"\"$ \ \

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(a) The rate of change of $\"\"$ when $\"\"$ is $\"\"$ .

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(b) The rate of change of $\"\"$ when $\"\"$ is $\"\"$ . \ \