The values of the functions are and .

(a) Find .

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Differentiate on each side with respect to .

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Substitute in above expression.

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Substitute and in above expression.

.

.

(b) Find .

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Differentiate with respect to on each side.

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Product rule of differentiation: .

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Substitute in above expression.

.

Substitute corresponding values in above expression.

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(c) Find .

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Differentiate with respect to on each side.

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Quotient rule of differentiation: .

Substitute in above expression.

Substitute corresponding values in the above expression.

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(d) Find .

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Differentiate with respect to on each side.

Quotient rule of differentiation: .

Substitute in above expression.

.

Substitute corresponding values in the above expression.

(a) .

(b) .

(c) .

(d)