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
ᐃV =
= (3x2) (0.04x) = 0.12x3m3
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