Function Expression :
\[f(x)=-xln x+x \]Domain
\[\left]0, \infty\right[ \]Limits
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = 0 \]\[\lim_{x \rightarrow+\infty}f(x) = -\infty \]
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Derivate
\[f^{\,\prime}(x)=- \log{\left(x \right)} \]\[f^{\,\prime}(x)=- \log{\left(x \right)} \]
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Integral
\[F(x) = - \frac{x^{2} \log{\left(x \right)}}{2} + \frac{3 x^{2}}{4} \]Sign Table
Variation Table
Plot
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