The graph of $f(x) = \dfrac{2}{x^2 + 1}$ is shown below. Find $f'(x)$ and evaluate this function at the points indicated in the graph. Identify the points as being an absolute maximum or minimum, a relative maximum or minimum, or none of the above.
(Select all that apply.)

1. $f'(x) =$
2. $f'(0) =$
3. At $(0,2)$, there is a/an
   Absolute maximum
   Absolute minimum
   Relative maximum
   Relative minimum
   None of the above
4. $f'(1) =$
5. At $(1,1)$, there is a/an
   Relative minimum
   Relative maximum
   Absolute maximum
   Absolute minimum
   None of the above