NEW FUNCTION

Function Expression :

\[f(x)=3x^2+3x-1 \]

Domain

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

Limits

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

Derivate

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

Integral

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

Sign Table


Variation Table


Plot


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