Function Expression :
\[f(x)=\frac{2x^3}{3x^2} \]Domain
\[\left]-\infty, 0\right[ \cup \left]0, \infty\right[ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \overset{<}{\rightarrow0} }f(x) = 0 \]
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = 0 \]
\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=6 \cdot \frac{1}{3 x^{2}} x^{2} - \frac{4}{3} \]\[f^{\,\prime}(x)=\frac{2}{3} \]
\[ \]
Integral
\[F(x) = \frac{x^{2}}{3} \]Sign Table
Variation Table
Plot
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