$\"\"$

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The functions are $\"\"$ and $\"\"$ .

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Graph :

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Graph the functions $\"\"$ and $\"\"$ .

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$\"\"$

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Observe the graph:

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The leftmost point of the curve is $\"\"$ .

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The lowest point of the curve is $\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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

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$\"\"$

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$\"\"$ .

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Consider $\"\"$ .

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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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Slope of the tangent line is first derivative of the curve.

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Slope of the curve is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$ .

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Slope of the tangent line is $\"\"$ .

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$\"\"$

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The leftmost point of the curve is same as the vertical tangent of the curve.

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Slope of the vertical tangent line 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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Substitute $\"\"$ in $\"\"$ and $\"\"$ .

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$\"\"$ .

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$\"\"$ .

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The leftmost point on the curve is $\"\"$ .

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$\"\"$

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The lowest point of the curve is same as the horizontal tangent of the curve.

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Slope of the horizontal tangent line 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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Substitute $\"\"$ in $\"\"$ and $\"\"$ .

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$\"\"$ .

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$\"\"$ .

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The lowest point on the curve is $\"\"$ .

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$\"\"$

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Graphically: \ \

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The leftmost point of the curve is $\"\"$ .

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The lowest point of the curve is $\"\"$ .

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Analitycally:

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The leftmost point of the curve is $\"\"$ .

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The lowest point of the curve is $\"\"$ .