A particle moves so that its position satisfies

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

Problem

x^{2}+9y^{2}=36

. When the particle is at

(3,1)

, its

y

–coordinate is increasing at

2\text{ m/s}

. What is

\dfrac{dx}{dt}

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

-3

(b)

-6

(c)

6

(d)

-12