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