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If f:Rto[0,oo] be a function satistying ...

If `f:Rto[0,oo]` be a function satistying the property `f(x+y)-f(x-y)=f(x)[f(y)-f(-y)] `for all ` y, xepsilonR`, `f^(')(0)=ln a, f(0)=1`
`f(x)` is

A

`e^(x)`

B

`2 ln x`

C

`4`

D

`a^(x)`

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The correct Answer is:
D
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