2 / 3\
3*x 2*x*\1 - x /
- ------ - ------------
2 2
1 + x / 2\
\1 + x /
-----------------------
_______________
/ 2
/ / 3\
/ \1 - x /
/ 1 - ---------
/ 2
/ / 2\
\/ \1 + x /
$$\frac{- \frac{3 x^{2}}{x^{2} + 1} - \frac{2 x \left(- x^{3} + 1\right)}{\left(x^{2} + 1\right)^{2}}}{\sqrt{- \frac{\left(- x^{3} + 1\right)^{2}}{\left(x^{2} + 1\right)^{2}} + 1}}$$
2
/ / 3\\
2 | 2*\-1 + x /| / 3\
x *|3*x - -----------| *\-1 + x /
/ 3\ 3 2 / 3\ | 2 |
2*\-1 + x / 12*x 8*x *\-1 + x / \ 1 + x /
-6*x + ----------- + ------ - -------------- - ---------------------------------
2 2 2 / 2\
1 + x 1 + x / 2\ 2 | / 3\ |
\1 + x / / 2\ | \1 - x / |
\1 + x / *|1 - ---------|
| 2|
| / 2\ |
\ \1 + x / /
--------------------------------------------------------------------------------
_______________
/ 2
/ / 3\
/ 2\ / \1 - x /
\1 + x /* / 1 - ---------
/ 2
/ / 2\
\/ \1 + x /
$$\frac{\frac{12 x^{3}}{x^{2} + 1} - \frac{x^{2} \left(3 x - \frac{2 \left(x^{3} - 1\right)}{x^{2} + 1}\right)^{2} \left(x^{3} - 1\right)}{\left(x^{2} + 1\right)^{2} \left(- \frac{\left(- x^{3} + 1\right)^{2}}{\left(x^{2} + 1\right)^{2}} + 1\right)} - \frac{8 x^{2} \left(x^{3} - 1\right)}{\left(x^{2} + 1\right)^{2}} - 6 x + \frac{2 \left(x^{3} - 1\right)}{x^{2} + 1}}{\left(x^{2} + 1\right) \sqrt{- \frac{\left(- x^{3} + 1\right)^{2}}{\left(x^{2} + 1\right)^{2}} + 1}}$$
/ 2 2\
/ / 3\\ | / 3\ 3 / 3\ 2 / 3\ | 3 / / 3\\ / 3 3 2 / 3\\
| 2*\-1 + x /| | 4 2*\-1 + x / / 3\ 24*x *\-1 + x / 12*x *\-1 + x / | 2 / / 3\\ / 3\ | 2*\-1 + x /| | -1 + x 6*x 4*x *\-1 + x /|
x*|3*x - -----------|*|9*x - ------------ + 6*x*\-1 + x / - --------------- + ----------------| 3 / 3\ | 2*\-1 + x /| 4*x*\-1 + x /*|3*x - -----------|*|-3*x + ------- + ------ - --------------|
| 2 | | 2 2 2 | 3*x *\-1 + x / *|3*x - -----------| | 2 | | 2 2 2 |
4 2 / 3\ 3 / 3\ \ 1 + x / | 1 + x 1 + x / 2\ | | 2 | \ 1 + x / | 1 + x 1 + x / 2\ |
72*x 54*x 24*x*\-1 + x / 48*x *\-1 + x / \ \1 + x / / \ 1 + x / \ \1 + x / /
-6 - --------- + ------ - -------------- + --------------- - ------------------------------------------------------------------------------------------------ - ------------------------------------ + ----------------------------------------------------------------------------
2 2 2 3 / 2\ 2 / 2\
/ 2\ 1 + x / 2\ / 2\ 2 | / 3\ | / 2\ 2 | / 3\ |
\1 + x / \1 + x / \1 + x / / 2\ | \1 - x / | 4 | / 3\ | / 2\ | \1 - x / |
\1 + x / *|1 - ---------| / 2\ | \1 - x / | \1 + x / *|1 - ---------|
| 2| \1 + x / *|1 - ---------| | 2|
| / 2\ | | 2| | / 2\ |
\ \1 + x / / | / 2\ | \ \1 + x / /
\ \1 + x / /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
_______________
/ 2
/ / 3\
/ 2\ / \1 - x /
\1 + x /* / 1 - ---------
/ 2
/ / 2\
\/ \1 + x /
$$\frac{- \frac{72 x^{4}}{\left(x^{2} + 1\right)^{2}} - \frac{3 x^{3} \left(3 x - \frac{2 \left(x^{3} - 1\right)}{x^{2} + 1}\right)^{3} \left(x^{3} - 1\right)^{2}}{\left(x^{2} + 1\right)^{4} \left(- \frac{\left(- x^{3} + 1\right)^{2}}{\left(x^{2} + 1\right)^{2}} + 1\right)^{2}} + \frac{48 x^{3} \left(x^{3} - 1\right)}{\left(x^{2} + 1\right)^{3}} + \frac{54 x^{2}}{x^{2} + 1} + \frac{4 x \left(3 x - \frac{2 \left(x^{3} - 1\right)}{x^{2} + 1}\right) \left(x^{3} - 1\right) \left(\frac{6 x^{3}}{x^{2} + 1} - \frac{4 x^{2} \left(x^{3} - 1\right)}{\left(x^{2} + 1\right)^{2}} - 3 x + \frac{x^{3} - 1}{x^{2} + 1}\right)}{\left(x^{2} + 1\right)^{2} \left(- \frac{\left(- x^{3} + 1\right)^{2}}{\left(x^{2} + 1\right)^{2}} + 1\right)} - \frac{x \left(3 x - \frac{2 \left(x^{3} - 1\right)}{x^{2} + 1}\right) \left(9 x^{4} - \frac{24 x^{3} \left(x^{3} - 1\right)}{x^{2} + 1} + \frac{12 x^{2} \left(x^{3} - 1\right)^{2}}{\left(x^{2} + 1\right)^{2}} + 6 x \left(x^{3} - 1\right) - \frac{2 \left(x^{3} - 1\right)^{2}}{x^{2} + 1}\right)}{\left(x^{2} + 1\right)^{2} \left(- \frac{\left(- x^{3} + 1\right)^{2}}{\left(x^{2} + 1\right)^{2}} + 1\right)} - \frac{24 x \left(x^{3} - 1\right)}{\left(x^{2} + 1\right)^{2}} - 6}{\left(x^{2} + 1\right) \sqrt{- \frac{\left(- x^{3} + 1\right)^{2}}{\left(x^{2} + 1\right)^{2}} + 1}}$$