(a) Express w/u and w/ as functions of u and y both by using the Chain Rule...

(a) Express ∂w/∂u and ∂w/∂ν as functions of u and y both by using the Chain Rule and by expressing w directly in terms of u and ν before differentiating. Then 

(b) Evaluate ∂w/∂u and ∂w/∂y at the given point (u, ν).

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w = xy + yz + xz, (u, v) = (1/2, 1) x = u x = u + v, y = u - v, + v, Z = uv;