For a curve defined parametrically by and with

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) with f′(t)≠0f'(t)\neq 0, which of the following equals dydx\dfrac{dy}{dx}? (a) g′(t) f′(t)g'(t)\,f'(t) (b) g′(t)f′(t)\dfrac{g'(t)}{f'(t)} (c) f′(t)g′(t)\dfrac{f'(t)}{g'(t)} (d) g(t)f(t)\dfrac{g(t)}{f(t)}

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