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NTA Abhyas JEE Main2020MathematicsDifferentiationPractice

If y = l n x x , then d 2 y d x 2 = 2 x 3 l n x - λ , where λ is

Options

  1. A3 2
  2. B2 3
  3. C1 2
  4. D1 3

Correct answer

A. 3 2

Step-by-step solution

Using quotient rule, we get, d y d x = 1 - l n x x 2 ∴ d 2 y d x 2 = x 2 - 1 x - 1 - l n x 2 x x 4 = - 1 - 2 + 2 l n x x 3 = 2 x 3 l n x - 1 + 1 2

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