Function Expression :
\[f(x)=5ln(3x-2 ) \]Domain
\[\left]\frac{2}{3}, \infty\right[ \]Limits
\[\lim_{x \overset{>}{\rightarrow\frac{2}{3}} }f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\frac{15}{3 x - 2} \]\[f^{\,\prime}(x)=\frac{15}{3 x - 2} \]
\[ \]
Integral
\[F(x) = 5 x \log{\left(3 x - 2 \right)} - 5 x - \frac{10 \log{\left(3 x - 2 \right)}}{3} \]Sign Table
Variation Table
Plot
Elapsed Time: 0.0113 seconds