The second derivative
[src]
x 2 2*acos(x)
- ----------- + ------------------- + ---------
3/2 ________ 2
/ 2\ / 2 (1 + x)
\1 - x / (1 + x)*\/ 1 - x
-----------------------------------------------
1 + x
$$\frac{- \frac{x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2 \operatorname{acos}{\left(x \right)}}{\left(x + 1\right)^{2}} + \frac{2}{\sqrt{1 - x^{2}} \left(x + 1\right)}}{x + 1}$$
The third derivative
[src]
2
3*x
-1 + -------
2
-1 + x 6*acos(x) 6 3*x
------------ - --------- - -------------------- + -------------------
3/2 3 ________ 3/2
/ 2\ (1 + x) 2 / 2 / 2\
\1 - x / (1 + x) *\/ 1 - x (1 + x)*\1 - x /
---------------------------------------------------------------------
1 + x
$$\frac{\frac{3 x}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left(x + 1\right)} - \frac{6 \operatorname{acos}{\left(x \right)}}{\left(x + 1\right)^{3}} - \frac{6}{\sqrt{1 - x^{2}} \left(x + 1\right)^{2}} + \frac{\frac{3 x^{2}}{x^{2} - 1} - 1}{\left(1 - x^{2}\right)^{\frac{3}{2}}}}{x + 1}$$