If $$f:R\rightarrow R$$ is a differentiable function such that $$f'(x)>2f(x)$$ for all $$x\epsilon R$$, and $$f(0)=1$$, then

A

$$f(x)$$ is increasing in $$(0,\infty)$$

B

$$f(x)$$ is decreasing in $$(0,\infty)$$

C

$$f(x)>e^{2x}$$ in $$(0,\infty)$$

D

$$f'(x)<e^{2x}$$ in $$(0,\infty)$$