NEW FUNCTION

Function Expression :

\[f(x)=-4x^3+2x+5 \]

Domain

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

Limits

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

Derivate

\[f^{\,\prime}(x)=2 - 12 x^{2} \]
\[f^{\,\prime}(x)=2 \cdot \left(1 - 6 x^{2}\right) \]

Integral

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

Sign Table


Variation Table


Plot


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