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NTA Abhyas JEE Main2020MathematicsApplication of DerivativesPractice

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

Options

  1. A20
  2. B4
  3. C14
  4. D22

Correct answer

B. 4

Step-by-step solution

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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