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