Answer
Local Minimum is y=0 when x= 0
Local Maximum is y=3.175 when x = 4
Work Step by Step
Graph the function $f(x) = x^{\frac{2}{3}} (6-x)^{\frac{1}{3}}$
See graph below (graph from desmos)
Calculate local maximum and minimum using a calculator (or desmos, which gives it to you (notice the gray dots!)
Local Minimum is y=0 when x= 0
Local maximum is y=3.175 when x = 4
