Only questions 29 , 37

14.4 The Chain Rule Find the values of az/ax and az/dy at the points in Exercises 29-32. 29. 23 - xy + yz + y3 - 2 = 0, (1, 1, 1) 30. 1 1 X + = - 1 = 0, (2, 3, 6) 31. sin (x + y) + sin (y + z) + sin (x + z) = 0, (T, TT, TT) 32. xe + ye' + 2 In x - 2 - 3 In2 = 0, (1, In 2, In 3) Finding Partial Derivatives at Specified Points 33. Find awar when r = 1, s = -1 if w = (x + y + z), x = r - s, y = cos (r + s), z = sin (r + s). 34. Find aw /du when 1 u = -1, v = 2 if w = xy + Inz, x = v- /u, y = u + v, z = cos u. 35. Find aw /au when u = 0, v = 0 if w = x2 + (y/x), x = u - 20 + 1, y = 2u + v - 2. 36. Find az/du when u = 0, v = 1 if z = sin xy + x sin y, x =u-+ u, y = uv. 37. Find dz /du and dz /du when u = In 2, v = 1 if z = 5 tan x and x = e" + Inv. 38. Find dz/du and dz /du when u = 1, v = -2 if z = In q and q = Vu + 3 tan u