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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 :
differentiable if f '(c) = 0
differentiable if f '(c) $ \ne $ 0
not differentiable
not differentiable if f '(c) = 0

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