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