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If f:R rarr (0,oo)be a differentiable f...

If `f:R rarr (0,oo)`be a differentiable function `f(x)` satisfying
`f(x+y)-f(x-y)=f(x)*{f(y)-f(-y)}, AA x, y in R, (f(y)!= f(-y) " for all " y in R)` and `f'(0)=2010`.
Now, answer the following questions.
Which of the following is true for `f(x)`

A

`e^(x)`

B

`2 ln x`

C

`4`

D

`a^(x)`

Text Solution

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The correct Answer is:
D
NA
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