Function Expression :
\[f(x)=2x^3+\frac{7}{2}x^2-3x+1 \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=6 x^{2} + 7 x - 3 \]\[ \]
Integral
\[F(x) = \frac{x^{4}}{2} + \frac{7 x^{3}}{6} - \frac{3 x^{2}}{2} + x \]Sign Table
Variation Table
Plot
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