Function Expression :
\[f(x)=x^2-x-ln(x ) \]Domain
\[\left]0, \infty\right[ \]Limits
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = +\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=2 x - 1 - \frac{1}{x} \]\[f^{\,\prime}(x)=\frac{2 x^{2} - x - 1}{x} \]
Integral
\[F(x) = \frac{x^{3}}{3} - \frac{x^{2}}{2} - x \log{\left(x \right)} + x \]Sign Table
Variation Table
Plot
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