Consider the equation

http://webwork2.math.utah.edu/webwor...ffeafb8301.png

as defining http://webwork2.math.utah.edu/webwor...e5e2513fe1.png implicitly as a function of http://webwork2.math.utah.edu/webwor...dd0b8b8e91.png and http://webwork2.math.utah.edu/webwor...22b824af51.png. Compute the following.

http://webwork2.math.utah.edu/webwor...bdaae06aa1.png

http://webwork2.math.utah.edu/webwor...664c110f21.png ?

zē + 2xz(∂z/∂x) + 4y(∂z/∂x) + (2/z)(∂z/∂x) = 0

1 - 2(∂z/∂x) + 4(∂z/∂x) + 2(∂z/∂x) = 0

∂z/∂x = -1/4

Should (∂z/∂y) answer be the same at the x? I don't get it. Please help.