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Let f : R → R be differentiable at c ∈ R and f(c) = 0. If g(x) = ) x ( f , then at x = c, g is :

1. differentiable if f ' (c) = 0
2. differentiable if f ' (c) ≠ 0
3. not differentiable
4. not differentiable if f ' (c) = 0

Correct answer: differentiable if f ' (c) = 0

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