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