$\"\"$

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The function is $\"\"$ .

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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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$\"\"$

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Take out common term $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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The condition for horizontal tangent is $\"\"$ .

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$\"\"$

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$\"\"$

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

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$\"\"$

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The horizontal tangent occurs at the point are $\"\"$ and $\"\"$ .

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$\"\"$

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The condition for vertical tangent is $\"\"$ .

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$\"\"$

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$\"\"$

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

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$\"\"$

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The vertical tangent occurs the point are $\"\"$ and $\"\"$ .

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$\"\"$

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Horizontal tangent occurs the point are $\"\"$ and $\"\"$ .

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Vertical tangent occurs the point are $\"\"$ and $\"\"$ .