-x
---------------------------------
________ / ________\
/ 2 | / 2 |
\/ 1 - x *|x|*asin\\/ 1 - x /
$$- \frac{x}{\sqrt{1 - x^{2}} \left|{x}\right| \operatorname{asin}{\left(\sqrt{1 - x^{2}} \right)}}$$
2
1 1 sign(x) x
--------------------------- - --------------- + ------------- - ---------------
/ ________\ ________ ________ 3/2
/ 2\ | / 2 | / 2 / 2 / 2\
\-1 + x /*asin\\/ 1 - x / \/ 1 - x *|x| x*\/ 1 - x \1 - x / *|x|
-------------------------------------------------------------------------------
/ ________\
| / 2 |
asin\\/ 1 - x /
$$\frac{- \frac{x^{2}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left|{x}\right|} + \frac{1}{\left(x^{2} - 1\right) \operatorname{asin}{\left(\sqrt{1 - x^{2}} \right)}} - \frac{1}{\sqrt{1 - x^{2}} \left|{x}\right|} + \frac{\operatorname{sign}{\left(x \right)}}{x \sqrt{1 - x^{2}}}}{\operatorname{asin}{\left(\sqrt{1 - x^{2}} \right)}}$$
3
2*sign(x) 1 3*x 3*x 3*x 2*DiracDelta(x) sign(x) 2*x
----------- + ----------------------------- - --------------- - ---------------------------- - --------------- + --------------- - ------------------------------- - ----------------------------------
3/2 / ________\ 3/2 2 / ________\ 5/2 ________ / ________\ 3/2 / ________\
/ 2\ / 2\ | / 2 | / 2\ / 2\ | / 2 | / 2\ / 2 / 2\ | / 2 | / 2\ 2| / 2 |
\1 - x / x*\-1 + x /*asin\\/ 1 - x / \1 - x / *|x| \-1 + x / *asin\\/ 1 - x / \1 - x / *|x| x*\/ 1 - x \-1 + x /*|x|*asin\\/ 1 - x / \1 - x / *|x|*asin \\/ 1 - x /
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ ________\
| / 2 |
asin\\/ 1 - x /
$$\frac{- \frac{3 x^{3}}{\left(1 - x^{2}\right)^{\frac{5}{2}} \left|{x}\right|} - \frac{3 x}{\left(x^{2} - 1\right)^{2} \operatorname{asin}{\left(\sqrt{1 - x^{2}} \right)}} - \frac{3 x}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left|{x}\right|} - \frac{2 x}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left|{x}\right| \operatorname{asin}^{2}{\left(\sqrt{1 - x^{2}} \right)}} - \frac{\operatorname{sign}{\left(x \right)}}{\left(x^{2} - 1\right) \left|{x}\right| \operatorname{asin}{\left(\sqrt{1 - x^{2}} \right)}} + \frac{2 \operatorname{sign}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{1}{x \left(x^{2} - 1\right) \operatorname{asin}{\left(\sqrt{1 - x^{2}} \right)}} + \frac{2 \delta\left(x\right)}{x \sqrt{1 - x^{2}}}}{\operatorname{asin}{\left(\sqrt{1 - x^{2}} \right)}}$$