$\"\"$

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The equation of the path is $\"\"$ .

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(a)

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Graph the function: $\"\"$ .

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$\"\"$

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$\"\"$

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(b) What are the slopes of this path when $\"\"$ and $\"\"$ .

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The slope of the path is $\"\"$ .

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The equation of the path is $\"\"$ .

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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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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The slope of the path is $\"\"$ .

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The slope of the path when $\"\"$ is $\"\"$ .

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The slope of the path is $\"\"$ .

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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The slope of the path when $\"\"$ is $\"\"$ .

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$\"\"$

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(c) What does the slope of the path approach as $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$ .

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The slope of the path approach as $\"\"$ is $\"\"$ . $\"\"$

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(a)

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Graph the function: $\"\"$ .

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$\"\"$

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(b)

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The slope of the path when $\"\"$ is $\"\"$ .

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The slope of the path when $\"\"$ is $\"\"$ .

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(c)

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$\"\"$ .

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The slope of the path approach as $\"\"$ is $\"\"$ .