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AP EAMCET202317 May 2023Evening ShiftMathematicsContinuity and DifferentiabilityActual

If R - -1 and f ( x )=|(| x |+ )(| x |-1)| , then the number of points at which f(x) is not differentiable, is

Options

  1. A3 , when < 0
  2. B5 , when >0
  3. C4 , when >0
  4. D5 , when < 0

Correct answer

D. 5 , when < 0

Step-by-step solution

Since, R- -1 aligned & and f ( x )=|(|x|+ )(|x|-1)| & |x|+ =0 |x|=- It is clear from graph that there are 5 points at which f ( x ) is not differentiable and < 0

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