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MHT CET20192 May 2019Morning ShiftMathematicsDifferentiationActual

If f x = cos - 1 ⁡ 1 - log ⁡ x 2 1 + log ⁡ x 2 , then f ' e = ________

Options

  1. A1 e
  2. B2 e 2
  3. C2 e
  4. D1

Correct answer

A. 1 e

Step-by-step solution

Given f x = c o s - 1 1 - l o g x 2 1 + l o g x 2 f x = 2 t a n - 1 l o g x f ' x = 2 1 + l o g x 2 1 x f ' ( e ) = + 2 1 + 1 1 e = 1 e Note: lnx is better option in place of log x

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