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

Let f(x) be a function satisfying `f(x+y)=f(x)f(y)` for all `x,y in R` and f(x)=1+xg(x) where `underset(x to 0)lim g(x)=1`. Then f'(x) is equal to

A

`log_(e)2^(f(x))`

B

`log_(e)[f(x)]^(2)`

C

`ln2`

D

None of these

Text Solution

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The correct Answer is:
A
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