NEW FUNCTION

Function Expression :

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

Domain

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

Limits

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

Derivate

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

Integral

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

Sign Table

Variation Table

Plot

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