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