NEW FUNCTION

Function Expression :

\[f(x)=2x^2e^x \]

Domain

\[]-\infty ;+\infty [ \]

Limits

\[\lim_{x \rightarrow-\infty}f(x) = 0 \]
\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]

Derivate

\[f^{\,\prime}(x)=2 x^{2} e^{x} + 4 x e^{x} \]
\[f^{\,\prime}(x)=2 x \left(x + 2\right) e^{x} \]
\[ \]

Integral

\[F(x) = \left(2 x^{2} - 4 x + 4\right) e^{x} \]

Sign Table

Variation Table

Plot

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