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