Chapter 11 - Section 11.3 - The Product and Quotient Rules - Exercises - Page 818: 28

$$\frac{5}{2}x\sqrt[3] x $$

$$\eqalign{ & {x^2}\sqrt x \cr & {x^2}{x^{1/2}} \cr & {\text{Multiply, recall that }}{x^m}{x^n} = {x^{m + n}} \cr & {x^{2 + 1/2}} \cr & {x^{5/2}} \cr & {\text{Differentiate}} \cr & \frac{d}{{dx}}\left[ {{x^{5/2}}} \right] \cr & = \frac{5}{2}{x^{5/2 - 1}} \cr & = \frac{5}{2}{x^{3/2}} \cr & = \frac{5}{2}x\sqrt[3] x \cr} $$