Step-by-step explanation:
Given:
[tex]z = 23x\sqrt{y}[/tex]
[tex]\dfrac{\partial z}{\partial x} = 23\sqrt{y}[/tex]
[tex]\dfrac{\partial z}{\partial y} =23x\left(\frac{1}{2}x^{-\frac{1}{2}}\right) = \dfrac{23x}{2\sqrt{y}}[/tex]
