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Suppose that f(x) is a differentiable fu...

Suppose that f(x) is a differentiable function such that f'(x) is continuous, f'(0) = 1 and f"(0) does not exist. Let g(x) = xf'(x). Then

A

g'(0) does not exist

B

g'(0)=)

C

g'(0)=1

D

g'(0)=2

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The correct Answer is:
C
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