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Let f be differentiable function satisfy...

Let f be differentiable function satisfying `f((x)/(y))=f(x) - f(y)"for all" x, y gt 0`. If f'(1) = 1, then f(x) is

A

0

B

`(1)/(2010)`

C

1

D

`(1)/(2011)`

Text Solution

Verified by Experts

The correct Answer is:
D
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