NEW FUNCTION

Function Expression :

\[f(x)=2x^3-6x6+2 \]

Domain

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

Limits

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

Derivate

\[f^{\,\prime}(x)=6 x^{2} - 36 \]
\[f^{\,\prime}(x)=6 \left(x^{2} - 6\right) \]

Integral

\[F(x) = \frac{x^{4}}{2} - 18 x^{2} + 2 x \]

Sign Table


Variation Table


Plot


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