Let $$f(x) = 2x + \tan^{-1}x$$ and $$g(x) = \log_e(\sqrt{1+x^2} + x)$$, $$x \in [0, 3]$$. Then

A

There exists $$x \in [0, 3]$$ such that $$f(x) < g'(x)$$

B

max $$f(x) >$$ max $$g(x)$$

C

There exist $$0 < x_1 < x_2 < 3$$ such that $$f(x) < g(x)$$, $$\forall x \in (x_1, x_2)$$

D

min $$f'(x) = 1 +$$ max $$g'(x)$$