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Let f : - 1 , 1 → R be a function defined by f x = min ⁡ x , 1 - x 2 . If K be the set of all points at which f is not differentiable, then K has exactly

Options

  1. Aone element
  2. Btwo elements
  3. Cfive elements
  4. Dthree elements

Correct answer

C. five elements

Step-by-step solution

Graph of given function f x = min ⁡ x , 1 - x 2 , is as shown Clearly, f x is not differentiable at 5 points in - 1 , 1 .

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