Function Expression :
\[f(x)=x^3-6x^2+9x+1 \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=3 x^{2} - 12 x + 9 \]\[f^{\,\prime}(x)=3 \left(x^{2} - 4 x + 3\right) \]
Integral
\[F(x) = \frac{x^{4}}{4} - 2 x^{3} + \frac{9 x^{2}}{2} + x \]Sign Table
Variation Table
Plot
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