NEW FUNCTION

Function Expression :

\[f(x)=xe(-x )-1 \]

Domain

\[]-\infty ;+\infty [ \]

Limits

\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = -\infty \]
\[ \]

Derivate

\[f^{\,\prime}(x)=- 2 e x \]
\[ \]

Integral

\[F(x) = - \frac{e x^{3}}{3} - x \]

Sign Table


Variation Table


Plot


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