Calculate the partial derivatives ∂U/∂T and ∂T/∂U using implicit differentiation of (TU-V)² In (W – UV) = ln (10) at (T, U, V, W) = (3, 3, 10, 40). (Use symbolic notation and fractions where needed.) ∂U/∂T =
∂T/∂U =
Calculate the partial derivative ∂z/∂y using implicit differentiation of e^7xy + sin (7xz) + 4y = 0. (Use symbolic notation and fractions where needed.)
∂z/∂y =