NEW FUNCTION

Function Expression :

\[f(x)=2e^{2x}-e^{-x}-2 \]

Domain

\[]-\infty ;+\infty [ \]

Limits

\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]

Derivate

\[f^{\,\prime}(x)=4 e^{2 x} + e^{- x} \]
\[f^{\,\prime}(x)=\left(4 e^{3 x} + 1\right) e^{- x} \]
\[ \]

Integral

\[F(x) = - 2 x + e^{2 x} + e^{- x} \]

Sign Table

Variation Table

Plot

Elapsed Time: 0.0076 seconds