/ 2 \ 2
| sign (x) 2*DiracDelta(x)| 2*sign (x)
|- -------- + ---------------|*|x| + ---------- + 2*DiracDelta(x)*log(|x|)
| 2 |x| | |x|
\ x /
$$\left(\frac{2 \delta\left(x\right)}{\left|{x}\right|} - \frac{\operatorname{sign}^{2}{\left(x \right)}}{x^{2}}\right) \left|{x}\right| + 2 \log{\left(\left|{x}\right| \right)} \delta\left(x\right) + \frac{2 \operatorname{sign}^{2}{\left(x \right)}}{\left|{x}\right|}$$
/ 2 \ / 2 \
|sign (x) DiracDelta(x, 1) 3*DiracDelta(x)*sign(x)| | sign (x) 2*DiracDelta(x)| 6*DiracDelta(x)*sign(x)
2*|-------- + ---------------- - -----------------------|*|x| + 2*DiracDelta(x, 1)*log(|x|) + 3*|- -------- + ---------------|*sign(x) + -----------------------
| 3 |x| 2 | | 2 |x| | |x|
\ x x / \ x /
$$3 \left(\frac{2 \delta\left(x\right)}{\left|{x}\right|} - \frac{\operatorname{sign}^{2}{\left(x \right)}}{x^{2}}\right) \operatorname{sign}{\left(x \right)} + 2 \left(\frac{\delta^{\left( 1 \right)}\left( x \right)}{\left|{x}\right|} - \frac{3 \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{x^{2}} + \frac{\operatorname{sign}^{2}{\left(x \right)}}{x^{3}}\right) \left|{x}\right| + 2 \log{\left(\left|{x}\right| \right)} \delta^{\left( 1 \right)}\left( x \right) + \frac{6 \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{\left|{x}\right|}$$