Function Expression :
\[f(x)=xe^{-x^2} \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = 0 \]\[\lim_{x \rightarrow+\infty}f(x) = 0 \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- 2 x^{2} e^{- x^{2}} + e^{- x^{2}} \]\[f^{\,\prime}(x)=\left(1 - 2 x^{2}\right) e^{- x^{2}} \]
\[ \]
Integral
\[F(x) = - \frac{e^{- x^{2}}}{2} \]Sign Table
Variation Table
Plot
Elapsed Time: 0.0028 seconds