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Let f(x + y)=f(x)+f (y) and f(x) = x^2 g...

Let f(x + y)=f(x)+f (y) and `f(x) = x^2 g(x)` for all `x, y in R`, where g(x) is continuous function. Then f'(x) is equal to

A

`g'(x)`

B

`g(0)`

C

`g(0)+g'(x)`

D

0

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The correct Answer is:
D
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