Evaluate
\left\{\begin{matrix}\text{Indeterminate},&\left(x_{1}>0\text{ and }x_{2}<0\right)\text{ or }\left(x_{2}>0\text{ and }x_{1}<0\right)\\\ln(|x_{2}|)-\ln(|x_{1}|),&\left(x_{1}>0\text{ and }x_{1}<x_{2}\right)\text{ or }\left(x_{2}<0\text{ and }x_{1}<x_{2}\right)\text{ or }x_{2}=x_{1}\\\infty,&\left(x_{2}=0\text{ and }x_{1}>0\right)\text{ or }\left(x_{1}=0\text{ and }x_{2}>0\right)\\-\infty,&\left(x_{1}=0\text{ and }x_{2}<0\right)\text{ or }\left(x_{2}=0\text{ and }x_{1}<0\right)\\\ln(|x_{1}|)-\ln(|x_{2}|),&\left(x_{2}>0\text{ or }x_{1}<0\right)\text{ and }x_{2}<x_{1}\end{matrix}\right.
Differentiate w.r.t. x_1
\text{Indeterminate}
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