I have a question related to diffeomorphism. I have to find on which set is this function $y= \frac{1}{e^x-1}$ a diffeomorphism. I found $y^{-1}=\ln \frac{1+y}{y}$ and the domain but how to check if this is $C^n$ class function?
2026-03-27 17:50:19.1774633819
How to check is this function diffeomorphism?
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