$$\frac{5}{25 x^{2} + 1}$$
-250*x
------------
2
/ 2\
\1 + 25*x /
$$- \frac{250 x}{\left(25 x^{2} + 1\right)^{2}}$$
/ 2 \
| 100*x |
250*|-1 + ---------|
| 2|
\ 1 + 25*x /
--------------------
2
/ 2\
\1 + 25*x /
$$\frac{250 \left(\frac{100 x^{2}}{25 x^{2} + 1} - 1\right)}{\left(25 x^{2} + 1\right)^{2}}$$
/ 2 \
| 100*x |
250*|-1 + ---------|
| 2|
\ 1 + 25*x /
--------------------
2
/ 2\
\1 + 25*x /
$$\frac{250 \left(\frac{100 x^{2}}{25 x^{2} + 1} - 1\right)}{\left(25 x^{2} + 1\right)^{2}}$$