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