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JEE Main20208 Jan 2020Morning ShiftMathematicsApplication of DerivativesActual

If c is a point at which Rolle’s theorem holds for the function, f x = log e ⁡ x 2 + α 7 x in the interval 3 , 4 , where α ∈ R , then f ' ' c is equal to

Options

  1. A- 1 12
  2. B1 12
  3. C- 1 24
  4. D3 7

Correct answer

B. 1 12

Step-by-step solution

f 3 = f 4 ⇒ α = 12 f ' x = x 2 - 12 x x 2 + 12 ∴ f ' c = 0 ∴ c = 12 ∴ f ' ' c = 1 12

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