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

(b) Evaluate ∂u/∂x, ∂u/∂y, and ∂u/∂z at the given point (x, y, z).

Transcribed Image Text:

P - q q r r = x + y U = - - p = x + y + z₂ q = x = y + z, Z; (x, y, z) = (√3, 2, 1)