Function Expression :
\[f(x)=x-1+(x^{2+2} )e-x \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
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Derivate
\[f^{\,\prime}(x)=\frac{e x^{2 + 2} \cdot \left(2 + 2\right)}{x} \]\[f^{\,\prime}(x)=4 e x^{3} \]
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Integral
\[F(x) = \frac{e x^{5}}{5} - x \]Sign Table
Variation Table
Plot
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