In local coordinates what does it mean for a critical point of a function f:M[tex]\rightarrow[/tex]R to be non degenerate?(adsbygoogle = window.adsbygoogle || []).push({});

In addition how can you show that the definition is independent of the choice of

local coordinates?

I know that being a critical point is independent of the choice of local coordinates but

I am struggling with the second derivate in local coordinates.

Any help is appreciated?

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# Non degeneracy of critical points

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