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