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

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

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Correct option  (1) differentiable if f ' (c) = 0

Explanation:

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