If and are differentiable functions of the parameter

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

Problem

x=f(t)

and

y=g(t)

are differentiable functions of the parameter

t

, then

\dfrac{dy}{dx}

is equal to (a)

\dfrac{f'(t)}{g'(t)}

(b)

g'(t)\,f'(t)

(c)

\dfrac{g'(t)}{f'(t)}

(d)

\dfrac{g(t)}{f(t)}