$\"\"$

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The equation is $\"\"$ , $\"\"$ .

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Apply logarithm on each side.

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$\"\"$

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Power property of logarithm : $\"\"$

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$\"\"$ . \ \

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Differentiate with respect to $\"\"$ . \ \

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$\"\"$

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Product rule of derivative : $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in the above equation. \ \

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$\"\"$

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$\"\"$

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To find slope at $\"\"$ substitute $\"\"$ in equation (1). \ \

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$\"\"$

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$\"\"$ .

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Thus, slope of tangent at $\"\"$ is $\"\"$ .

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$\"\"$

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Find equation of tangent.

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Slope of tangent : $\"\"$ .

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The slope at $\"\"$ , $\"\"$ is $\"\"$ .

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$\"\"$

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$\"\"$

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The line equation is $\"\"$ .

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$\"\"$

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The line equation is $\"\"$ .