Function Expression :
\[f(x)=-\frac{x^2}{2}+2x+\frac{1}{2}e^{2x} \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- x + e^{2 x} + 2 \]\[ \]
Integral
\[F(x) = - \frac{x^{3}}{6} + x^{2} + \frac{e^{2 x}}{4} \]Sign Table
Variation Table
Plot
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