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