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
\[f^{\,\prime}(x)=2 \left(e^{x} - 1\right) e^{x} + \left(2 e^{x} + 1\right) e^{x} \]\[f^{\,\prime}(x)=\left(4 e^{x} - 1\right) e^{x} \]
\[ \]
Integral
\[F(x) = - x + e^{2 x} - e^{x} \]Sign Table
Variation Table
Plot
Elapsed Time: 0.0044 seconds