For a cube of edge length

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

a\,(\text{cm})

, which one of the following gives the rate of change of its volume

V

(in

\text{cm}^3

) with respect to time

t

seconds? (a)

2a^{2}\,\dfrac{da}{dt}

(b)

3a^{2}\,\dfrac{da}{dt}

(c)

6a^{2}\,\dfrac{da}{dt}

(d)

a^{2}\,\dfrac{da}{dt}