NEW FUNCTION

Function Expression :

\[f(x)=6xe^{x1} \]

Domain

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

Limits

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

Derivate

\[f^{\,\prime}(x)=6 x e^{x 1} + 6 e^{x 1} \]
\[f^{\,\prime}(x)=6 \left(x + 1\right) e^{x} \]
\[ \]

Integral

\[F(x) = \left(6 x - 6\right) e^{x} \]

Sign Table

Variation Table

Plot

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