Function Expression :
\[f(x)=e^{xe^x} \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = 1 \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\left(x e^{x} + e^{x}\right) e^{x e^{x}} \]\[f^{\,\prime}(x)=\left(x + 1\right) e^{x e^{x} + x} \]
\[ \]
Integral
\[F(x) = \int e^{x e^{x}}\, dx \]Sign Table
Variation Table
Plot
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