_______
/ 7 - x / 1 7 - x \
/ ----- *(x - 8)*|- --------- - ----------|
\/ x - 8 | 2*(x - 8) 2|
\ 2*(x - 8) /
----------------------------------------------
/ 7 - x\
|1 + -----|*(7 - x)
\ x - 8/
$$\frac{\sqrt{\frac{7 - x}{x - 8}} \left(x - 8\right) \left(- \frac{7 - x}{2 \left(x - 8\right)^{2}} - \frac{1}{2 \left(x - 8\right)}\right)}{\left(7 - x\right) \left(\frac{7 - x}{x - 8} + 1\right)}$$
/ 2 \
| / -7 + x\ / -7 + x\ -7 + x |
____________ | 3*|1 - ------| |1 - ------| 1 - ------ |
/ -(-7 + x) | 1 \ -8 + x/ \ -8 + x/ -8 + x |
/ ---------- *|--------- - -------------- + ------------- - -------------------|
\/ -8 + x | 2 2 2 4*(-8 + x)*(-7 + x)|
\(-7 + x) 4*(-7 + x) 8*(-7 + x) /
-----------------------------------------------------------------------------------
-7 + x
$$\frac{\sqrt{- \frac{x - 7}{x - 8}} \left(\frac{\left(1 - \frac{x - 7}{x - 8}\right)^{2}}{8 \left(x - 7\right)^{2}} - \frac{3 \left(1 - \frac{x - 7}{x - 8}\right)}{4 \left(x - 7\right)^{2}} - \frac{1 - \frac{x - 7}{x - 8}}{4 \left(x - 8\right) \left(x - 7\right)} + \frac{1}{\left(x - 7\right)^{2}}\right)}{x - 7}$$