NEW FUNCTION

Function Expression :

\[f(x)=1-\frac{x^3}{3}-2ln x \]

Domain

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

Limits

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

Derivate

\[f^{\,\prime}(x)=- x^{2} - \frac{2}{x} \]
\[f^{\,\prime}(x)=\frac{- x^{3} - 2}{x} \]
\[ \]

Integral

\[F(x) = - \frac{x^{4}}{12} - 2 x \log{\left(x \right)} + 3 x \]

Sign Table

Variation Table

Plot

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