$\"\"$

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

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Consider point on the curve $\"\"$ .

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Find the distance between $\"\"$ and $\"\"$ .

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Distance formula is $\"\"$ .

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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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Differentiate on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Equate $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ in the function.

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$\"\"$

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$\"\"$ .

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The closest point to the curve is $\"\"$ .

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$\"\"$

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The closest point to the curve is $\"\"$ .