$$1 + \frac{2}{x^{2} + 1}$$
-4*x
---------
2
/ 2\
\1 + x /
$$- \frac{4 x}{\left(x^{2} + 1\right)^{2}}$$
/ 2 \
| 4*x |
4*|-1 + ------|
| 2|
\ 1 + x /
---------------
2
/ 2\
\1 + x /
$$\frac{\frac{16 x^{2}}{x^{2} + 1} - 4}{\left(x^{2} + 1\right)^{2}}$$