Chapter 14: Partial Derivatives - Section 14.3 - Partial Derivatives - Exercises 14.3 - Page 807: 6

$f_x=3(2x-3y)^2\times 2$ $f_y=3(2x-3y)^2\times -3$

Take the first partial derivatives of the given function. When taking a partial derivative with respect to x, treat y as a constant, and vice versa: $f_x=3(2x-3y)^2\times 2$ $f_y=3(2x-3y)^2\times -3$