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When should we use partial derivatives?
Please explain.
Solution
From a particular point of view total derivative and partial derivatives are the same.
The dependencies of the variables and the nature of derivatives should be clearly stated, but it is
often they are not. One may make the convention that when the total notation is used, variables
are dependent unless otherwise stated; and when partial notation is used they are independent
unless otherwise stated.

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When should we use partial derivativesPlease explain.Solution.pdf

  • 1. When should we use partial derivatives? Please explain. Solution From a particular point of view total derivative and partial derivatives are the same. The dependencies of the variables and the nature of derivatives should be clearly stated, but it is often they are not. One may make the convention that when the total notation is used, variables are dependent unless otherwise stated; and when partial notation is used they are independent unless otherwise stated.