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Mathematics
Calculus
Does derivative formula work for all parametric equations
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[QUOTE="chiro, post: 5504807, member: 157252"] If one variable has a zero derivative with respect to another variable then no inverse function in that neighborhood exists - and this is part of a theorem known as the inverse function theorem which looks at determinants of matrices in higher dimensions. If two things are related then there is a functional mapping between them of some sort (you may have to "unwind" the mapping so that you don't have branch cuts and you maintain an actual one to one functional correspondence). If a derivative is zero everywhere then no relation between the two variables exists at all. [/QUOTE]
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Mathematics
Calculus
Does derivative formula work for all parametric equations
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