NEW FUNCTION

Function Expression :

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

Domain

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

Limits

\[\lim_{x \overset{>}{\rightarrow0} }f(x) = 1 \]
\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]

Derivate

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

Integral

\[F(x) = 2 \sqrt{x} e^{\sqrt{x}} - 2 e^{\sqrt{x}} \]

Sign Table

Variation Table

Plot

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