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NDA2017MathematicsApplication of DerivativesActual

The maximum value of In x x is

Options

  1. Ae
  2. B1 e
  3. C2 e
  4. D1

Correct answer

B. 1 e

Step-by-step solution

aligned & f ( x )= nx x & f ^ ( x )= ( 1 x ) x - nx x ^2 = 1- nx x ^2 aligned aligned & f ^ ( x )=0 1- nx x ^2 =0 1- x =0 & x=1 & x = e aligned Hence, maximum value of f(x)= 1 e

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