Function Expression :
\[f(x)=\frac{1}{3}x^3-x^2+x+2007 \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=x^{2} - 2 x + 1 \]\[ \]
Integral
\[F(x) = \frac{x^{4}}{12} - \frac{x^{3}}{3} + \frac{x^{2}}{2} + 2007 x \]Sign Table
Variation Table
Plot
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