NEW FUNCTION

Function Expression :

\[f(x)=x^2-1+ln x \]

Domain

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

Limits

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

Derivate

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

Integral

\[F(x) = \frac{x^{3}}{3} + x \log{\left(x \right)} - 2 x \]

Sign Table

Variation Table

Plot

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