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NTA Abhyas JEE Main2020MathematicsApplication of DerivativesPractice

If the local minimum of the function f x = x 3 - 3 a 2 x + 4 ∀ a > 0 occurs at x = λ ∀ λ > 1 , then a may take the value

Options

  1. A3 2
  2. B2 3
  3. C4 5
  4. D0

Correct answer

B. 2 3

Step-by-step solution

f ′ x = 3 x 2 − 3 a 2 = 3 x - a x + a Hence, minimum occurs at x = a ∴ a > 1

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