Function Expression :
\[f(x)=\sqrt{\frac{x}{e}} \]Domain
\[\left[0, \infty\right[ \]Limits
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = 0 \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\frac{\sqrt{x} e^{- \frac{1}{2}}}{2 x} \]\[f^{\,\prime}(x)=\frac{1}{2 \sqrt{x} e^{\frac{1}{2}}} \]
\[ \]
Integral
\[F(x) = \frac{2 x^{\frac{3}{2}}}{3 e^{\frac{1}{2}}} \]Sign Table
Variation Table
Plot
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