NEW FUNCTION

Function Expression :

\[f(x)=e^x-\frac{1}{2}ex^2 \]

Domain

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

Limits

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

Derivate

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

Integral

\[F(x) = - \frac{e x^{3}}{6} + e^{x} \]

Sign Table

Variation Table

Plot

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