Function Expression :
\[f(x)=2x-\frac{2-2e^x}{1+xe^x} \]Domain
\[\mathbb{R} \setminus \left\{x\; \middle|\; x \in \mathbb{R} \wedge x e^{x} + 1 = 0 \right\} \]Limits
\[ \]Derivate
\[ \]Integral
\[F(x) = x^{2} - 2 x + 2 \log{\left(x \right)} + 2 \log{\left(e^{x} + \frac{1}{x} \right)} \]Sign Table
Variation Table
Plot
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