The first derivative
[src]
1 1 2*(3 - x)
- ------- + ---------- + ----------
2 - 2*x / 2\ 2
| x | (2 - 2*x)
4*|1 + --|
\ 16/
$$\frac{1}{4 \left(\frac{x^{2}}{16} + 1\right)} - \frac{1}{2 - 2 x} + \frac{2 \left(3 - x\right)}{\left(2 - 2 x\right)^{2}}$$
The second derivative
[src]
1 -3 + x 8*x
- --------- + --------- - ----------
2 3 2
(-1 + x) (-1 + x) / 2\
\16 + x /
$$- \frac{8 x}{\left(x^{2} + 16\right)^{2}} + \frac{x - 3}{\left(x - 1\right)^{3}} - \frac{1}{\left(x - 1\right)^{2}}$$
The third derivative
[src]
2
8 3 3*(-3 + x) 32*x
- ---------- + --------- - ---------- + ----------
2 3 4 3
/ 2\ (-1 + x) (-1 + x) / 2\
\16 + x / \16 + x /
$$\frac{32 x^{2}}{\left(x^{2} + 16\right)^{3}} - \frac{3 \left(x - 3\right)}{\left(x - 1\right)^{4}} - \frac{8}{\left(x^{2} + 16\right)^{2}} + \frac{3}{\left(x - 1\right)^{3}}$$