For a curve defined parametrically by and where

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

For a curve defined parametrically by x=f(t)x=f(t) and y=g(t)y=g(t) where f′(t)≠0f'(t)\neq 0, which expression represents dydx\dfrac{dy}{dx} in terms of derivatives with respect to tt? (a) dxdtdydt\dfrac{\dfrac{dx}{dt}}{\dfrac{dy}{dt}} (b) (dydt)(dxdt)\left(\dfrac{dy}{dt}\right)\left(\dfrac{dx}{dt}\right) (c) dydtdxdt\dfrac{\dfrac{dy}{dt}}{\dfrac{dx}{dt}} (d) g(t)f(t)\dfrac{g(t)}{f(t)}

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