$\"\"$

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(a)

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The function is $\"\"$ .

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

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$\"\"$

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Apply chain rule : $\"\"$ .

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$\"\"$

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The derivative of the function with respect to $\"\"$ is

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$\"\"$

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$\"\"$

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(b)

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x,y are functions of t, that means $\"\"$ and $\"\"$ .

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The function is $\"\"$ .

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

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$\"\"$

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Apply chain rule : $\"\"$ .

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$\"\"$

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The derivative of the function with respect to $\"\"$ is

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$\"\"$

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$\"\"$

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(a) $\"\"$

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(b) $\"\"$