Find the approximate change in volume of a cube of side caused by a increase in side.

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

Problem

Find the approximate change in volume of a cube of side

x\text{ cm}

caused by a

1\%

increase in side. (a)

1\%

(b)

\dfrac{1}{3}\%

(c)

3\%

(d)

33\%