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Let f(x) be a function satisfying `f(x+y)=f(x)+f(y)` and `f(x)=x g(x)"For all "x,y in R`, where g(x) is continuous. Then,

A

`f'(x)=g'(x)`

B

`f'(x)=g(x)`

C

`f'(x)=g(0)`

D

None of these

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