Function Expression :
\[f(x)=x^2-x^2. e^{x-4} \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]\[\lim_{x \rightarrow+\infty}f(x) = -\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- x^{2} e^{x - 4} - 2 x e^{x - 4} + 2 x \]\[f^{\,\prime}(x)=x \left(- x e^{x - 4} - 2 e^{x - 4} + 2\right) \]
\[ \]
Integral
\[F(x) = \frac{x^{3}}{3} + \left(- x^{2} + 2 x - 2\right) e^{x - 4} \]Sign Table
Variation Table
Plot
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