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JEE Math Practice Question

Let f : R $$ \to $$ R be differentiable at c $$ \in $$ R and f(c) = 0. If g(x) = |f(x)| , then at x = c, g is :

  1. A.differentiable if f '(c) = 0
  2. B.differentiable if f '(c) $$ \ne $$ 0
  3. C.not differentiable
  4. D.not differentiable if f '(c) = 0

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