Variables and are related by

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

Problem

Variables

x

and

y

are related by

3x^{2}+2y^{2}=30

. When

x=2

(with

y>0

) and

x

is increasing at

3\,\text{cm s}^{-1}

, which of the following equals

\dfrac{dy}{dt}

at that moment? (a)

-\dfrac{3}{2}\,\text{cm s}^{-1}

(b)

-3\,\text{cm s}^{-1}

(c)

3\,\text{cm s}^{-1}

(d)

-6\,\text{cm s}^{-1}