- 分からない問題はここに書いてね464
259 :132人目の素数さん[sage]:2020/11/20(金) 10:31:09.49 ID:QUQKoBxb - ある本に,「Since a differentiable function on an interval in R with nowhere zero derivative has a differentiable inverse, it is tempting to think
that if the derivative f'(a) ≠ 0, then f should have a local inverse at a.」と書いてあるのですが,「a differentiable function on an interval in R with nowhere zero derivative has a differentiable inverse」はどうやって証明するのでしょうか?
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