The set of points where $$f(x) = \dfrac{x}{1 + |x|}$$ is differentiable is

A

$$(-\infty, 0) \cup (0, \infty)$$

B

$$(-\infty, -1) \cup (-1, \infty)$$

C

$$(-\infty, \infty)$$

D

$$(0, \infty)$$