Answer
$\ln x$
Work Step by Step
$\frac{d}{dx}(x\ln x-x)$
$=x\frac{d}{dx}\ln x+\ln x\frac{d}{dx}x-1$
$=x*\frac{1}{x}+\ln x*1-1$
$=1+\ln x-1$
$=\ln x$
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