NEW FUNCTION

Function Expression :

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

Domain

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

Limits

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

Derivate

\[f^{\,\prime}(x)=- 3 x^{2} - 6 x + 1 \]
\[ \]

Integral

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

Sign Table


Variation Table


Plot


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