Function Expression :
\[f(x)=(\frac{x+1}{e^x} ) \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = 0 \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- \left(x + 1\right) e^{- x} + \frac{1}{e^{x}} \]\[f^{\,\prime}(x)=- x e^{- x} \]
\[ \]
Integral
\[F(x) = \left(- x - 2\right) e^{- x} \]Sign Table
Variation Table
Plot
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