NEW FUNCTION

Function Expression :

\[f(x)=-e^{-x}+x-3 \]

Domain

\[]-\infty ;+\infty [ \]

Limits

\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]

Derivate

\[f^{\,\prime}(x)=1 + e^{- x} \]
\[f^{\,\prime}(x)=\left(e^{x} + 1\right) e^{- x} \]

Integral

\[F(x) = \frac{x^{2}}{2} - 3 x + e^{- x} \]

Sign Table

Variation Table

Plot

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