Function Expression :
\[f(x)=xln(-x ) \]Domain
\[\left]-\infty, 0\right[ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \overset{<}{\rightarrow0} }f(x) = 0 \]
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Derivate
\[f^{\,\prime}(x)=\log{\left(- x \right)} + 1 \]\[f^{\,\prime}(x)=\log{\left(- x \right)} + 1 \]
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Integral
\[F(x) = \frac{x^{2} \log{\left(- x \right)}}{2} - \frac{x^{2}}{4} \]Sign Table
Variation Table
Plot
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