Function Expression :
\[f(x)=1-(x-1 )^2e-x \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = -\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=e \left(2 - 2 x\right) - 1 \]\[f^{\,\prime}(x)=- 2 e \left(x - 1\right) - 1 \]
\[ \]
Integral
\[F(x) = - \frac{e x^{3}}{3} + x^{2} \left(- \frac{1}{2} + e\right) + x \left(1 - e\right) \]Sign Table
Variation Table
Plot
Elapsed Time: 0.0066 seconds