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