II. Partial Derivatives: Solve the following exercises. Calculate the partial derivatives of = = - sin(xy?). Calculate the partial derivatives of f(x, y) = x". Calculate the partial derivatives of f (x, y) = V16-4x2 -912 Calculate the partial derivatives of f(x, y) = (1 + +1)513. Find fr(1, 1) and f,(1, 1) given that f (x, y) = y-e" + vx2 +1 . Use implicit differentiation to find - and given that x2 + 12 + 2 - 2xyz= 5. Ox Use implicit differentiation to find and given that x1/3 _ v1/3 + 21/3 = 16. ar av Use implicit differentiation to find - and given that (x+ v) = (v-=)3. Ox III. One and Several Variables: Solve the following exercises. Evaluate and at (3, 3, 2) given that x3 + y + 2 - 3xyz = 8. Ox Evaluate 02 and - at (1, 0, x/6) given that x cos = - y sin = = sin 2z. Ox