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