Let f(x)= array cc 0, & x x

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

Let \(f(x)=\left\{\begin{array}{cc} 0, & x<0 \\ x^{2}, & x \geq 0 \end{array}\right.\) then for all x
  1. f ′ is differentiable
  2. f is differentiable
  3. f ′ is continuous
  4. f is continuous

Answer

(C) f ′ is continuous

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