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AP EAMCET202316 May 2023Morning ShiftMathematicsApplication of DerivativesActual

Let f(x)= Max x, x, 0 . If the number of points at which f(x) is not differentiable in (0,2024 ) is 1012 k , then k =

Options

  1. A3 / 2
  2. B6
  3. C3
  4. D2

Correct answer

C. 3

Step-by-step solution

f(x)= x, x, 0 The bold curve in the above figure is the graph of f(x) . From figure, it is clear that f(x) is periodic. f(x) has 3 sharp edge between 0 to 2 . f(x) is not differentiable at 3 points between 0 to 2 . i.e. 2 32024 3 1012 No. of points at which f(x) is differentiable in (0,2024 )=3 1024 1012 k=3 1024 k=3 .

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