The second derivative
[src]
/ 2/3 \
| x 1 2*acot(x)|
2*|--------- + --------------- + ---------|
| 2 4/3 / 2\ 7/3 |
|/ 2\ 3*x *\1 + x / 9*x |
\\1 + x / /
$$2 \left(\frac{x^{\frac{2}{3}}}{\left(x^{2} + 1\right)^{2}} + \frac{1}{3 x^{\frac{4}{3}} \left(x^{2} + 1\right)} + \frac{2 \operatorname{acot}{\left(x \right)}}{9 x^{\frac{7}{3}}}\right)$$
The third derivative
[src]
/ 2 \
| 4*x |
| -1 + ------ |
| 2 |
| 1 1 + x 2 14*acot(x)|
-2*|--------- + ----------- + ------------- + ----------|
| 2 2 2 / 2\ 3 |
|/ 2\ / 2\ 3*x *\1 + x / 27*x |
\\1 + x / \1 + x / /
---------------------------------------------------------
3 ___
\/ x
$$- \frac{2 \left(\frac{\frac{4 x^{2}}{x^{2} + 1} - 1}{\left(x^{2} + 1\right)^{2}} + \frac{1}{\left(x^{2} + 1\right)^{2}} + \frac{2}{3 x^{2} \left(x^{2} + 1\right)} + \frac{14 \operatorname{acot}{\left(x \right)}}{27 x^{3}}\right)}{\sqrt[3]{x}}$$