NEW FUNCTION

Function Expression :

\[f(x)=x^4+12x^2-2 \]

Domain

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

Limits

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

Derivate

\[f^{\,\prime}(x)=4 x^{3} + 24 x \]
\[f^{\,\prime}(x)=4 x \left(x^{2} + 6\right) \]
\[ \]

Integral

\[F(x) = \frac{x^{5}}{5} + 4 x^{3} - 2 x \]

Sign Table


Variation Table


Plot


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