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Year 12 Maths Extension 1 (2027) Calculus

Derivatives of parametric functions

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Questions
Question 1
182721

A curve is defined parametrically by \(x=f(t)\) and \(y=g(t)\). Which expression gives \(\dfrac{dy}{dx}\)?

A.
\(\dfrac{dx/dt}{dy/dt}\)
B.
\(\dfrac{dy/dt}{dx/dt}\)
C.
\(\dfrac{dy}{dt}\cdot\dfrac{dx}{dt}\)
D.
\(\dfrac{dy}{dt}-\dfrac{dx}{dt}\)
\(\dfrac{dy/dt}{dx/dt}\)

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