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