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MHT CET20192 May 2019Morning ShiftMathematicsDifferentiationActual

Derivative of log e 2 ⁡ log ⁡ x with respect to x is ________

Options

  1. A2 x log ⁡ x
  2. B1 x log ⁡ x
  3. C1 x log ⁡ x 2
  4. D2 log ⁡ x

Correct answer

C. 1 x log ⁡ x 2

Step-by-step solution

Let y = l o g e 2 l o g x = 1 2 l o g e l o g x then d y d x = 1 2 1 l o g e d d x l o g x l o g b α a = 1 α l o g b a = 1 2 1 l o g x 1 x Note: Here, log ⁡ x = log e ⁡ x

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