For a cube whose edge length varies with time according to

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

a(t)=2t+1\,(\text{cm})

, where

t

is in seconds, calculate

\dfrac{dV}{dt}

t=2\,\text{s}

. (a)

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

(b)

300\,\text{cm}^3\!/\text{s}

(c)

150\,\text{cm}^3\!/\text{s}

(d)

50\,\text{cm}^3\!/\text{s}