Given and , which of the following equals…

MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Given

x=\dfrac{at}{1+t^2}

and

y=\dfrac{a(1-t^2)}{1+t^2}

, which of the following equals

\dfrac{dy}{dx}

? (a)

\dfrac{4t}{1-t^{2}}

(b)

\dfrac{-4t}{1+t^{2}}

(c)

\dfrac{-4t}{1-t^{2}}

(d)

\dfrac{-2t}{1-t^{2}}

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