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Let f x = min ⁡ 4 - x 2 , 1 + x 2 ∀ x ∈ - 2 , 2 , then the number of points where f x is non-differentiable is

Options

  1. A1
  2. B0
  3. C4
  4. D2

Correct answer

C. 4

Step-by-step solution

Clearly, from the graph we can see that f x is non-differentiable at 4 points

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