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