NEW FUNCTION

Function Expression :

\[f(x)=\frac{x^3}{3}-\frac{7}{2}x^2+12x-1 \]

Domain

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

Limits

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

Derivate

\[f^{\,\prime}(x)=x^{2} - 7 x + 12 \]
\[ \]

Integral

\[F(x) = \frac{x^{4}}{12} - \frac{7 x^{3}}{6} + 6 x^{2} - x \]

Sign Table


Variation Table


Plot


Elapsed Time: 0.0069 seconds