NEW FUNCTION

Function Expression :

\[f(x)=e^x-2. x+2-3. e^{-x} \]

Domain

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

Limits

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

Derivate

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

Integral

\[F(x) = - x^{2} + 2 x + e^{x} + 3 e^{- x} \]

Sign Table

Variation Table

Plot

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