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Problem 3: It really matters which variables you hold fixed when taking partial derivatives, as this example shows. Let w = x y? and x=y z?. a) Write w in terms of only x and z, and then in terms of only y and z. and () and show that they are not equal. b) Compute the partial derivatives

Problem 3: It really matters which variables you hold fixed when taking partial derivatives, as this example shows. Let w = x y? and x=y z?. a) Write w in terms of only x and z, and then in terms of only y and z. and () and show that they are not equal. b) Compute the partial derivatives

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 3: It really matters which variables you hold fixed when taking partial derivatives, as this example shows. Let w = x y? and x=y z?. a) Write w in terms of only x and z, and then in terms of only y and z. and () and show that they are not equal. b) Compute the partial derivatives
Transcribed Image Text:Problem 3: It really matters which variables you hold fixed when taking partial derivatives, as this example shows. Let w = x y? and x=y z?. a) Write w in terms of only x and z, and then in terms of only y and z. and () and show that they are not equal. b) Compute the partial derivatives
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