1. The problem statement, all variables and given/known data The equations xu^2 + yv = 2, 2yv^2 + xu = 3 define u(x,y) and v(x,y) in terms of x and y near the point (x,y) = (1,1) and (u,v) = (1,1). Compute the following partial derivatives: (A) ∂u/∂x(1,1) (B) ∂u/∂y(1,1) (C) ∂v/∂x(1,1) (D) ∂v/∂y(1,1) The answers are: (A) ∂u/∂x(1,1) = -0.428571428571429 (B) ∂u/∂y(1,1) = -0.285714285714286 (C) ∂v/∂x(1,1) = -0.142857142857143 (D) ∂v/∂y(1,1) = -0.428571428571429 2. Relevant equations To my knowledge: partial differentiation and implicit differentiation. 3. The attempt at a solution I tried implicitly and partially differentiating xu^2 + yv = 2 and got: u^2 + 2xu∂u/∂x = 0 ∂u/∂x = -u^2 /(2xu) ∂u/∂x(1,1) = -(1)^2/(2*1*1) = -1/2 (which is close to the answer but not good enough). Could someone please tell me what I am doing wrong and how to do this correctly? Any help would be greatly appreciated! Thanks in advance!