NEW FUNCTION
Function Expression :
\[f(x)=(-x-1
). e^{-x}+1 \]
Domain
\[]-\infty ;+\infty [ \]
Limits
\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = 1 \]
\[ \]
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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