Function Expression :
\[f(x)=x^3-3x^2+6x+9 \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=3 x^{2} - 6 x + 6 \]\[f^{\,\prime}(x)=3 \left(x^{2} - 2 x + 2\right) \]
Integral
\[F(x) = \frac{x^{4}}{4} - x^{3} + 3 x^{2} + 9 x \]Sign Table
Variation Table
Plot
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