Function Expression :
\[f(x)=-2x^3+33x^2+72x-5 \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]\[\lim_{x \rightarrow+\infty}f(x) = -\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- 6 x^{2} + 66 x + 72 \]\[f^{\,\prime}(x)=6 \left(- x^{2} + 11 x + 12\right) \]
Integral
\[F(x) = - \frac{x^{4}}{2} + 11 x^{3} + 36 x^{2} - 5 x \]Sign Table
Variation Table
Plot
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