Function Expression :
\[f(x)=2(3x-1 )e^{-2x}+2 \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = 2 \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- 2 \cdot \left(6 x - 2\right) e^{- 2 x} + 6 e^{- 2 x} \]\[f^{\,\prime}(x)=2 \cdot \left(5 - 6 x\right) e^{- 2 x} \]
\[ \]
Integral
\[F(x) = 2 x + \frac{\left(- 6 x - 1\right) e^{- 2 x}}{2} \]Sign Table
Variation Table
Plot
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