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Find the approximate change in the volum...

Find the approximate change in the volume V of a cube of side one metre caused by increasing the side by 40% .

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Here , `Delta = 0.04` m
Volume of cube , `V = x^(3)`
Differentiates with respect to x
`(dV)/(dx) = 3x^(2)`
Change in volume
`DeltaY = ((dV)/(dx))_(x) Deltax = 3x^(2)xx .04`
`= 0.12 x^(2) m^(3)`.
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