For two related variables

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

For two related variables, the desired instantaneous slope is

\displaystyle \frac{dy}{dx}=-3

. If at some instant

\displaystyle \frac{dy}{dt}=6\,\text{units/min}

, what must be the value of

\displaystyle \frac{dx}{dt}

(in units/min) at that instant? (a)

2

(b)

-2

(c)

-0.5

(d)

0.5