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