The first derivative
[src]
x
- ------ + acot(x)
2
1 + x
$$- \frac{x}{x^{2} + 1} + \operatorname{acot}{\left(x \right)}$$
The second derivative
[src]
/ 2 \
| x |
2*|-1 + ------|
| 2|
\ 1 + x /
---------------
2
1 + x
$$\frac{2 \left(\frac{x^{2}}{x^{2} + 1} - 1\right)}{x^{2} + 1}$$
The third derivative
[src]
/ 2 \
| 4*x |
2*x*|4 - ------|
| 2|
\ 1 + x /
----------------
2
/ 2\
\1 + x /
$$\frac{2 x \left(- \frac{4 x^{2}}{x^{2} + 1} + 4\right)}{\left(x^{2} + 1\right)^{2}}$$