Function Expression :
\[f(x)=e^{-\frac{x^2}{2}} \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = 0 \]\[\lim_{x \rightarrow+\infty}f(x) = 0 \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- x e^{- \frac{x^{2}}{2}} \]\[ \]
Integral
\[F(x) = \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}{\left(\frac{\sqrt{2} x}{2} \right)}}{2} \]Sign Table
Variation Table
Plot
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