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