Function Expression :
\[f(x)=x^2-8ln x-1 \]Domain
\[\left]0, \infty\right[ \]Limits
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = +\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=2 x - \frac{8}{x} \]\[f^{\,\prime}(x)=\frac{2 \left(x^{2} - 4\right)}{x} \]
Integral
\[F(x) = \frac{x^{3}}{3} - 8 x \log{\left(x \right)} + 7 x \]Sign Table
Variation Table
Plot
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