At an instant

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

Problem

At an instant,

\displaystyle \frac{dy}{dt}=-4\,\text{units/s}

while

\displaystyle \frac{dx}{dt}=2\,\text{units/s}

. What is

\displaystyle \frac{dy}{dx}

at that moment? (a)

-8

(decreasing) (b)

2

(increasing) (c)

-2

(decreasing) (d)

-0.5

(decreasing)