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