Function Expression :
\[f(x)=1-(x-18 )e.-x3 \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=3 e x - 3 e \left(18 - x\right) \]\[f^{\,\prime}(x)=6 e \left(x - 9\right) \]
\[ \]
Integral
\[F(x) = e x^{3} - 27 e x^{2} + x \]Sign Table
Variation Table
Plot
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