$\"\"$

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

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Find the minimum distance.

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Distance between two points : $\"\"$ .

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Let $\"\"$ be the point on the graph of the function.

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in the distance formula.

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$\"\"$

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$\"\"$

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Let $\"\"$ .

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

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$\"\"$ .

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$\"\"$

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Evaluate by equating $\"\"$ to zero.

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$\"\"$

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Roots of the cubic equation are $\"\"$ , $\"\"$ and $\"\"$ .

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Imaginary roots are not consider, hence $\"\"$ .

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Substitute $\"\"$ in the function.

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$\"\"$

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The minimum distance of the point is $\"\"$ .

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$\"\"$

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Graph :

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Graph the function $\"\"$ .

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$\"\"$

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Observe the graph :

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The closest point is $\"\"$ .

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$\"\"$

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The closest point is $\"\"$ .

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Graph the function $\"\"$ .

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$\"\"$