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The formula \(\frac{dy}{dx}=\frac{\frac{dy}{dt}}{\frac{dx}{dt}}\) is based on which rule?

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Question

The formula \(\frac{dy}{dx}=\frac{\frac{dy}{dt}}{\frac{dx}{dt}}\) is based on which rule?

Options

  • The chain rule

  • The product rule

  • The power rule only

  • The quotient rule

MCQ
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Solution

The derivative formula for parametric functions follows from the chain rule. It relates the rates of change of \(x\) and \(y\) with respect to the common parameter.

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