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