The third derivative
[src]
// 2 \ / 2 \ \
|| 16*x | | 16*x | 12*x |
16*||-1 + --------|*acot(2*x) - |-1 + --------|*atan(2*x) + --------|
|| 2| | 2| 2|
\\ 1 + 4*x / \ 1 + 4*x / 1 + 4*x /
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2
/ 2\
\1 + 4*x /
$$\frac{16 \left(\frac{12 x}{4 x^{2} + 1} + \left(\frac{16 x^{2}}{4 x^{2} + 1} - 1\right) \operatorname{acot}{\left(2 x \right)} - \left(\frac{16 x^{2}}{4 x^{2} + 1} - 1\right) \operatorname{atan}{\left(2 x \right)}\right)}{\left(4 x^{2} + 1\right)^{2}}$$