A function is y = x 3 . The approximate value of the function at x = 2.0001 is possibly (choose the closest answer possible)

Question

A function is y = x 3 . The approximate value of the function at x = 2.0001 is possibly (choose the closest answer possible), 8.0006, 8.0008, 8.0012, 8.0015

MARKS App · Accepted Answer

consider y = x 3 at x = 2 y + ∆ y = 2.0001 3 = 2 + 0.0001 3 = x + ∆ x 3 and ∆ y = 3 x 2 ∆ x ⟹ ∆ y = 3 2 2 × 0.0001 = 0.0012 ∴ y = 2 3 + △ y = 8.0012

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