12-3C Consider the function z(x, y), its partial derivatives (dz/dx)y and (dz/dy)x, and the total derivative dz/dx. ( a) How do the magnitudes (dx)y and dx compare? ( b) How do the magnitudes (dz)y and dz compare? ( c) Is there any relation among dz,( dz)x, and (dz)y? | |
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