1. (a) (2 points) Find the total differential for the function: z =2x - 8xy - y. (b) (2 points) Find the total derivative dz/dw for the function: z =2x - 8xy - y', given that x = 4w- + 3 and y = 8w. [Note: No need to simplify your derivation.] (c) (2 points) Given the implicit function: 5x4 + 3y* - 6y -206 =0, find dy/dx. [Note: No need to simplify your derivation. ] (d) (2 points) Given the production function of the form: Q = 211/2 + K1/2 Derive the marginal productivityes of L (labor) and K (capital)