NEW FUNCTION

Function Expression :

\[f(x)=e\sqrt{2}ln x \]

Domain

\[\left]0, \infty\right[ \]

Limits

\[\lim_{x \overset{>}{\rightarrow0} }f(x) = -\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]

Derivate

\[f^{\,\prime}(x)=\frac{\sqrt{2} e}{x} \]
\[ \]

Integral

\[F(x) = \sqrt{2} e \left(x \log{\left(x \right)} - x\right) \]

Sign Table


Variation Table


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