The volume of a cube with edge length is changing at a rate of

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

Problem

The volume

V

of a cube with edge length

s

is changing at a rate of

75\text{ cm}^{3}\!/\text{s}

. What is

\dfrac{ds}{dt}

when

s=5\text{ cm}

? (a)

3\text{ cm/s}

(b)

\dfrac{1}{2}\text{ cm/s}

(c)

1\text{ cm/s}

(d)

5\text{ cm/s}