MathCastle
Multivariable CalculusHardThe Chain Rule & Implicit Differentiation

The Chain Rule & Implicit Differentiation · Hard problem

Let w=f(u,v)w = f(u, v) where u=x+yu = x + y and v=x−yv = x - y. If fu(2,0)=3f_u(2, 0) = 3 and fv(2,0)=5f_v(2, 0) = 5, compute wx−wyw_x - w_y at (x,y)=(1,1)(x, y) = (1, 1).