Function Expression :
\[f(x)=\frac{3x^2-x}{x} \]Domain
\[\left]-\infty, 0\right[ \cup \left]0, \infty\right[ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \overset{<}{\rightarrow0} }f(x) = -1 \]
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = -1 \]
\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\frac{6 x - 1}{x} - \frac{3 x^{2} - x}{x^{2}} \]\[f^{\,\prime}(x)=3 \]
\[ \]
Integral
\[F(x) = \frac{3 x^{2}}{2} - x \]Sign Table
Variation Table
Plot
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