Consider the functions z = -3 e^x In y, x = ln (u cos v), and y = u sin v.
(a) Express ∂z/∂u and ∂z/∂v as functions of u and v both by using the Chain Rule and by expressing z directly in terms of u and v before differentiating. (b) Evaluate ∂z/∂u and ∂z/∂v at (u, v) = (5, π/3)
(a) Find each partial derivative needed to use the Chain Rule to find ∂z/∂u and ∂z/∂v