Function Expression :
\[f(x)=(x+1 )e^{-\frac{x}{2}} \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = 0 \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- \frac{\left(x + 1\right) e^{- \frac{x}{2}}}{2} + e^{- \frac{x}{2}} \]\[f^{\,\prime}(x)=\frac{\left(1 - x\right) e^{- \frac{x}{2}}}{2} \]
\[ \]
Integral
\[F(x) = \left(- 2 x - 6\right) e^{- \frac{x}{2}} \]Sign Table
Variation Table
Plot
Elapsed Time: 0.0030 seconds