NEW FUNCTION

Function Expression :

\[f(x)=1-\frac{1}{x}-ln(x ) \]

Domain

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

Limits

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

Derivate

\[f^{\,\prime}(x)=- \frac{1}{x} + \frac{1}{x^{2}} \]
\[f^{\,\prime}(x)=\frac{1 - x}{x^{2}} \]
\[ \]

Integral

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

Sign Table

Variation Table

Plot

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