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