The positive difference between the local maximum value and the local minimum value of the function f x = x 3 - 3 x - 1 , ∀ x ∈ - 2 , 3 is

Question

The positive difference between the local maximum value and the local minimum value of the function f x = x 3 - 3 x - 1 , ∀ x ∈ - 2 , 3 is, 20, 4, 14, 22

MARKS App · Accepted Answer

As, f ′ x = 3 x 2 − 1 = 3 x - 1 x + 1 ∴ Local maximum = - 1 + 3 - 1 = 1 And local minimum = - 3 ∴ The positive difference = 4

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