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AP EAMCET201920 Apr 2019Morning ShiftMathematicsContinuity and DifferentiabilityActual

Let ([x] ) denote the greatest integer less than or equal to (x ). Then the number of points where the function (y=[x]+|1-x|,-1 x 3 ) is not differentiable, is

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

D. 4

Step-by-step solution

The given function (y=[x]+|1-x| ) have point of discontinuity at (x=0,1,2 ) and 3 for (-1 x 3 ). So function (y=[x]+ |-x ) is not differentiable at 4 points. Hence, option (4) is correct.

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