Function Expression :
\[f(x)=e^{-5x}(1-5x ) \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]\[\lim_{x \rightarrow+\infty}f(x) = 0 \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- 5 \left(\left(-1\right) 5 x + 1\right) e^{- 5 x} - 5 e^{- 5 x} \]\[f^{\,\prime}(x)=5 \cdot \left(5 x - 2\right) e^{- 5 x} \]
\[ \]
Integral
\[F(x) = x e^{- 5 x} \]Sign Table
Variation Table
Plot
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