How would one show that if there is a number c for which g'(c)=0, then every point on the level set {(x,y)|H(x,y)=c} is a degenerate critical point of f?(adsbygoogle = window.adsbygoogle || []).push({});

I know that the question may seem vague, but this is the question as it was given to me by my professor. It is something to think about, but. I would appreciate a comprehensive answer; however, any comments would also be appreciated.

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Level Sets and Degenerate Critical Points

Loading...

Similar Threads for Level Sets Degenerate | Date |
---|---|

I Higher Level Derivative Notation | Mar 25, 2017 |

I A-level differentiation/derivative dilemma | Sep 29, 2016 |

Level set vs level curve | Mar 1, 2015 |

Level sets as smooth curves | Nov 3, 2011 |

Level sets and sections. | Jan 22, 2004 |

**Physics Forums - The Fusion of Science and Community**