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mathboy
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Total derivative formula confusion
It took me over an hour to fully resolve the confusion that appears in textbooks about the total derivate formula. Some textbooks use the term total derivative if a function f is a function t and other variables, and each of those variables themselves are functions of t. I'm going to challenge the formulas they give, including the first formula in this wikipedia page:
http://en.wikipedia.org/wiki/Total_derivative
Here is my refutation. Please tell me if I'm right or not.
It took me over an hour to fully resolve the confusion that appears in textbooks about the total derivate formula. Some textbooks use the term total derivative if a function f is a function t and other variables, and each of those variables themselves are functions of t. I'm going to challenge the formulas they give, including the first formula in this wikipedia page:
http://en.wikipedia.org/wiki/Total_derivative
Here is my refutation. Please tell me if I'm right or not.
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