Chapter 13 - Partial Derivatives - 13.3 Partial Derivatives - Exercises Set 13.3 - Page 936: 15

\[ -4, \frac{1}{2} \]

Step 1 \[ \frac{\partial z}{\partial x} = \text{slope of line parallel to xz-plane} = \frac{4 - 0}{1 - 2} = -4 \] Step 2 \[ \frac{\partial z}{\partial y} = \text{slope of line parallel to yz-plane} = \frac{4 - 3}{2 - 0} = \frac{1}{2} \] Result \[ -4, \frac{1}{2} \]