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