NEW FUNCTION

Function Expression :

\[f(x)=ln(x )-(x+5 ) \]

Domain

\[\left]0, \infty\right[ \]

Limits

\[\lim_{x \overset{>}{\rightarrow0} }f(x) = -\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = -\infty \]
\[ \]

Derivate

\[f^{\,\prime}(x)=-1 + \frac{1}{x} \]
\[f^{\,\prime}(x)=\frac{1 - x}{x} \]
\[ \]

Integral

\[F(x) = - \frac{x^{2}}{2} + x \log{\left(x \right)} - 6 x \]

Sign Table

Variation Table

Plot

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