Application of DerivativeHard

Question

The approximate change in the volume of a cube of side x meters caused by increasing the side by 4% is

Options

A. 0.06x3m3
B. 0.09x3m3
C.0.12x3m3
D.0.15x3m3

Solution

V = x3
ᐃV = ᐃx = (3x2) ᐃx
= (3x2) (0.04x) = 0.12x3m3

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