NEW FUNCTION

Function Expression :

\[f(x)=1+(x-1 )e^x \]

Domain

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

Limits

\[\lim_{x \rightarrow-\infty}f(x) = 1 \]
\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]

Derivate

\[f^{\,\prime}(x)=\left(x - 1\right) e^{x} + e^{x} \]
\[f^{\,\prime}(x)=x e^{x} \]
\[ \]

Integral

\[F(x) = x + \left(x - 2\right) e^{x} \]

Sign Table

Variation Table

Plot

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