What is required for one to simply write,(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{\partial x}{\partial y} = \frac{1}{\left(\dfrac{\partial y}{\partial x}\right)}[/tex]

There are probably necessary conditions on the smoothness of the inverse map, but I'd like an easy way to know when I can just compute dx/dy by this method.

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# Reciprocals of derivatives

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