NEW FUNCTION

Function Expression :

\[f(x)=\frac{x+2}{e^x} \]

Domain

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

Limits

\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = 0 \]
\[ \]

Derivate

\[f^{\,\prime}(x)=- \left(x + 2\right) e^{- x} + \frac{1}{e^{x}} \]
\[f^{\,\prime}(x)=\left(- x - 1\right) e^{- x} \]
\[ \]

Integral

\[F(x) = \left(- x - 3\right) e^{- x} \]

Sign Table


Variation Table


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