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