Let f(x) be a function satisfying f(x...

Let f(x) be a function satisfying `f(x+y)=f(x) + f(y) and f(x) = xg(x) for all x.y in ` R. which g(x) is continuous then prove that `f'(x) =g(0) `

A

`phi(0)`

B

`phi'(x)`

C

`0`

D

None of these

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The correct Answer is:

C

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