NEW FUNCTION

Function Expression :

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

Domain

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

Limits

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

Derivate

\[f^{\,\prime}(x)=- 9 x^{2} + 4 x \]
\[f^{\,\prime}(x)=x \left(4 - 9 x\right) \]
\[ \]

Integral

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

Sign Table

Variation Table

Plot

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