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