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MHT CET202123 Sep 2021Morning ShiftMathematicsApplication of DerivativesActual

F ( x )= | x | , where x (0, ) is strictly increasing on

Options

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

Correct answer

C. (0, 2 ) only

Step-by-step solution

f(x)= | x| , where x (0, ) f ^ ( x )= 1 x x = x When f ^ ( x )>0 , we say x x >0 Here x>0 [x (0, )] for the function to be strictly increasing, x>0 x (0, 2 ) only.

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