/ 2 2*(1 - x)\
t*(1 - x)*|- ----- - ---------|
| 1 + x 2|
\ (1 + x) /
-------------------------------
/ 2 4\
| t *(1 - x) |
(1 + x)*|1 + -----------|
| 4 |
\ (1 + x) /
$$\frac{t \left(- x + 1\right) \left(- \frac{2 \cdot \left(- x + 1\right)}{\left(x + 1\right)^{2}} - \frac{2}{x + 1}\right)}{\left(x + 1\right) \left(\frac{t^{2} \left(- x + 1\right)^{4}}{\left(x + 1\right)^{4}} + 1\right)}$$
/ 2 4 / -1 + x\\
| 4*t *(-1 + x) *|-1 + ------||
/ -1 + x\ | 3*(-1 + x) \ 1 + x /|
2*t*|-1 + ------|*|-1 + ---------- - ----------------------------|
\ 1 + x / | 1 + x / 2 4\ |
| 4 | t *(-1 + x) | |
| (1 + x) *|1 + ------------| |
| | 4 | |
\ \ (1 + x) / /
------------------------------------------------------------------
/ 2 4\
2 | t *(-1 + x) |
(1 + x) *|1 + ------------|
| 4 |
\ (1 + x) /
$$\frac{2 t \left(\frac{x - 1}{x + 1} - 1\right) \left(- \frac{4 t^{2} \left(x - 1\right)^{4} \left(\frac{x - 1}{x + 1} - 1\right)}{\left(x + 1\right)^{4} \left(\frac{t^{2} \left(x - 1\right)^{4}}{\left(x + 1\right)^{4}} + 1\right)} + \frac{3 \left(x - 1\right)}{x + 1} - 1\right)}{\left(x + 1\right)^{2} \left(\frac{t^{2} \left(x - 1\right)^{4}}{\left(x + 1\right)^{4}} + 1\right)}$$
/ / 2\ \
| 2 2 3 | 8*(-1 + x) 5*(-1 + x) | |
| 4 7 / -1 + x\ 2 3 / -1 + x\ 2*t *(-1 + x) *|3 - ---------- + -----------| 2 4 / -1 + x\|
| 16*t *(-1 + x) *|-1 + ------| 4*t *(-1 + x) *|-1 + ------| | 1 + x 2 | 12*t *(-1 + x) *|-1 + ------||
/ -1 + x\ | 6*(-1 + x) \ 1 + x / \ 1 + x / \ (1 + x) / \ 1 + x /|
4*t*|-1 + ------|*|3 - ---------- - ------------------------------ - ---------------------------- + --------------------------------------------- + -----------------------------|
\ 1 + x / | 1 + x 2 / 2 4\ / 2 4\ / 2 4\ |
| / 2 4\ 3 | t *(-1 + x) | 3 | t *(-1 + x) | 4 | t *(-1 + x) | |
| 7 | t *(-1 + x) | (1 + x) *|1 + ------------| (1 + x) *|1 + ------------| (1 + x) *|1 + ------------| |
| (1 + x) *|1 + ------------| | 4 | | 4 | | 4 | |
| | 4 | \ (1 + x) / \ (1 + x) / \ (1 + x) / |
\ \ (1 + x) / /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 2 4\
3 | t *(-1 + x) |
(1 + x) *|1 + ------------|
| 4 |
\ (1 + x) /
$$\frac{4 t \left(\frac{x - 1}{x + 1} - 1\right) \left(- \frac{16 t^{4} \left(x - 1\right)^{7} \left(\frac{x - 1}{x + 1} - 1\right)^{2}}{\left(x + 1\right)^{7} \left(\frac{t^{2} \left(x - 1\right)^{4}}{\left(x + 1\right)^{4}} + 1\right)^{2}} + \frac{12 t^{2} \left(x - 1\right)^{4} \left(\frac{x - 1}{x + 1} - 1\right)}{\left(x + 1\right)^{4} \left(\frac{t^{2} \left(x - 1\right)^{4}}{\left(x + 1\right)^{4}} + 1\right)} - \frac{4 t^{2} \left(x - 1\right)^{3} \left(\frac{x - 1}{x + 1} - 1\right)}{\left(x + 1\right)^{3} \left(\frac{t^{2} \left(x - 1\right)^{4}}{\left(x + 1\right)^{4}} + 1\right)} + \frac{2 t^{2} \left(x - 1\right)^{3} \cdot \left(\frac{5 \left(x - 1\right)^{2}}{\left(x + 1\right)^{2}} - \frac{8 \left(x - 1\right)}{x + 1} + 3\right)}{\left(x + 1\right)^{3} \left(\frac{t^{2} \left(x - 1\right)^{4}}{\left(x + 1\right)^{4}} + 1\right)} - \frac{6 \left(x - 1\right)}{x + 1} + 3\right)}{\left(x + 1\right)^{3} \left(\frac{t^{2} \left(x - 1\right)^{4}}{\left(x + 1\right)^{4}} + 1\right)}$$