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