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MHT CET20249 May 2024Morning ShiftMathematicsApplication of DerivativesActual

If f (x)= x x (x 0) , then it is increasing in

Options

  1. A(0, e )
  2. B( e , )
  3. C(0, )
  4. D(- , )

Correct answer

A. (0, e )

Step-by-step solution

aligned & f (x)= x x & f ^ (x)= 1 x^2 - x x^2 = 1- x x^2 aligned For f (x) to be increasing, f ^ (x) 0 1- x 0 1 x e x f (x) is increasing in the interval (0, e ) .

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