Chapter 10.2, Problem 21E

To determine

To calculate: The relative minimum, relative maximum and points of inflection for the provided equation $y=x^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}\left(x-4\right)$ and the first derivative $y\text{'}=\frac{4\left(x-1\right)}{3x^{\raisebox{1ex}{$2$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}}$ and second derivative $y"=\frac{4\left(x+2\right)}{9x^{\raisebox{1ex}{$5$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}}$ also sketch its graph.