Inverse function theorem: Difference between revisions

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m made f^-1 have superscript as appropriate.
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If the derivative of ''f'' is an isomorphism at all points ''p'' in ''M'' then the map ''f'' is a [[local diffeomorphism]].
 
This can be expressed more clearly as <math>(f<sup>^{-1})'(f(a))={{1} \over {f'(a)}}</math>. Where ' indicates the derivative of the function.
 
[[Category:Multivariate calculus]]