A point moves along the hyperbola

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

Problem

xy=12

. When the point is at

(4,3)

, its

x

–coordinate is decreasing at a rate of

3

units per second. What is

\dfrac{dy}{dt}

at that instant? (a)

4\text{ units/s}

(b)

-\dfrac{9}{4}\text{ units/s}

(c)

\dfrac{9}{4}\text{ units/s}

(d)

\dfrac{3}{4}\text{ units/s}