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If f:R is a differentiable fucntion suc...

If f:R is a differentiable fucntion such that f(x) `gt` 2f(x) for all x `in` R and f(0) =1 then

A

f(x) `gt e^(2x) " in " (0,oo)`

B

`f(x) lt e^(2x) " in " (0,oo)`

C

`f(x) ` is increasing in `(0,oo)`

D

f(x) is decreasing in `(0,oo)`

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The correct Answer is:
A, C
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