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Consider the function z(x, y), its partial derivatives
Chapter 12, Problem 4P(choose chapter or problem)
QUESTION:
Problem 4P
Consider the function z(x, y), its partial derivatives (∂z/∂x)yand (∂z/∂x)x and the total derivative dz/dx.
(a) How do the magnitudes (∂x)yand dx compare?
(b) How do the magnitudes (∂z)yand dz compare?
(c) Is there any relation among dz, (∂z)x, and (∂z)y?
Questions & Answers
QUESTION:
Problem 4P
Consider the function z(x, y), its partial derivatives (∂z/∂x)yand (∂z/∂x)x and the total derivative dz/dx.
(a) How do the magnitudes (∂x)yand dx compare?
(b) How do the magnitudes (∂z)yand dz compare?
(c) Is there any relation among dz, (∂z)x, and (∂z)y?
ANSWER:
Step 1 of 4Given data:function,Partial derivative are , ,Total derivative is