For a curve defined parametrically by and

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

Problem

For a curve defined parametrically by

x=f(t)

and

y=g(t)

, the expression for the first derivative

\dfrac{dy}{dx}

is: (a)

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

(b)

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

(c)

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

(d)

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