If f ( x ) = min 1, x 2 , x 3 , then

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

If f (x) = min {1, x2, x3}, then
  1. f(x) is continuous
  2. f(x) > 0, x > 1
  3. f (x) is continuous but not differentiable
  4. f (x) is not differentiable at two points

Answer

(D) f ( x ) is not differentiable at two points

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