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Nonsingular derivative

  1. Apr 11, 2007 #1
    What does a "nonsingular derivative" mean. It comes in the following context: "If f: R^2 --> R^2 is a function with a nonsingular derivative everywhere, is f bijective?"
  2. jcsd
  3. Apr 11, 2007 #2


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    It probably means it's invertible (i.e. it's a bijection).
  4. Apr 11, 2007 #3
    What does the derivative of a function [itex]f:\mathbb{R}^n \rightarrow \mathbb{R}^m[/itex] look like? Do you know what it means for a matrix to be nonsingular (hint: see morphism's post!)? :smile:
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