For a point constrained to the curve

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

Problem

x^{2}y=16

, the coordinates are

(2,4)

at a particular moment when

\dfrac{dx}{dt}=3\text{ cm/s}

. What is

\dfrac{dy}{dt}

(in cm/s) at that instant? (a)

12

(b)

-6

(c)

-12

(d)

-3