Function Expression :
\[f(x)=(x-2 )e^{x-1} \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = 0 \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\left(x - 2\right) e^{x - 1} + e^{x - 1} \]\[f^{\,\prime}(x)=\left(x - 1\right) e^{x - 1} \]
\[ \]
Integral
\[F(x) = \left(x - 3\right) e^{x - 1} \]Sign Table
Variation Table
Plot
Elapsed Time: 0.0259 seconds