$\"\"$

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

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(a)

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Find $\"\"$ and $\"\"$ .

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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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Substitute $\"\"$ in above expression.

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$\"\"$ .

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Substitute $\"\"$ in above expression.

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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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Substitute $\"\"$ in above expression.

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$\"\"$ .

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Substitute $\"\"$ in above expression.

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$\"\"$

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$\"\"$ .

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$\"\"$

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(b)

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Find an equation of tangent line to the graph of $\"\"$ at the point $\"\"$ .

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If $\"\"$ , then

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$\"\"$

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Substitute $\"\"$ in above expression.

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$\"\"$ .

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Therefore, the point is $\"\"$ .

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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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Slope of the tangent is derivative of the function at the given point.

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$\"\"$

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$\"\"$ .

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

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Point - slope form of a line equation is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in above expression.

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$\"\"$

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Tangent line to the graph $\"\"$ at $\"\"$ is $\"\"$ .

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$\"\"$

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(a) $\"\"$ and $\"\"$ .

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(b) Tangent line to the graph $\"\"$ at $\"\"$ is $\"\"$ .