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