Function Expression :
\[f(x)=-x^3+6x^2+63x+18 \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]\[\lim_{x \rightarrow+\infty}f(x) = -\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- 3 x^{2} + 12 x + 63 \]\[f^{\,\prime}(x)=3 \left(- x^{2} + 4 x + 21\right) \]
Integral
\[F(x) = - \frac{x^{4}}{4} + 2 x^{3} + \frac{63 x^{2}}{2} + 18 x \]Sign Table
Variation Table
Plot
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