Gradient in different cooridinates

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Homework Statement



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Homework Equations





The Attempt at a Solution


I saw from a book this is a quick way to get gradient in different cooridinates.

However what f, g and h are? And how do I know that in rectangular coor. f=g=h=1 and etc?
 

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I am always a bit suspicious about these formulae. My advice id to go from first principles, learn how to do it and then when you need then again, look it up in a book.
 

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