If f:RR-> RR is a differentiable funct...

If ` f:RR-> RR ` is a differentiable function such that `f(x) > 2f(x) ` for all `x in RR ` and `f(0)=1, ` then

A

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

B

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

C

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

D

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

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The correct Answer is:

C, D

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