MATH 599 Midterm: MATH 5B UCSB 5B Fall 06 5BpMidterm 2

For the functions w = xy + yz + xz, x = u + 3v, y = u - 3v, and z = uv, express and using the chain rule and by expressing w directly in terms of u and v before differentiating. Then evaluate and at the point (u, v) =(- 1/2, 0) Express and as functions of u and v.