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