Calculus 8E
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(a)
The function is .
Apply derivative on each side with respect to .
The chain rule of derivative : .
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Use the power rule : .
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If is a function, which is differentiable and is an independent variable, then the differential in terms of is defined as .
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(b)
The function is .
Apply derivative on each side with respect to .
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Quotient rule of derivatives: .
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Differential of the function is .
(a) .
(b) .
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