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