$\"\"$

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The function is $\"\"$ and point $\"\"$ .

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Take natural logarithm on each side.

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$\"\"$

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Power rule of logarithm : $\"\"$ .

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$\"\"$

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

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$\"\"$

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

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$\"\"$

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$\"\"$

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Slope at point $\"\"$ :

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$\"\"$

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Thus, slope $\"\"$ .

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The point-slope form of line equation is $\"\"$ .

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Substitute the point $\"\"$ and slope $\"\"$ in point-slope form of line equation.

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$\"\"$

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Thus, the tangent line equation is $\"\"$ .

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$\"\"$

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The tangent line equation is $\"\"$ .