Ex: 13–14 Compare Surface Plots of $f$, $f_x$, and $f_y$

Find \(f\), \(f_x\), and \(f_y\) and graph \(f\), \(f_x\), and \(f_y\) with domains and viewpoints that enable you to see the relationships between them.

13. \(f(x, y) = x^2 y^3\)
14. \(f(x, y) = \dfrac{y}{1 + x^2 y^2}\)