Simple question: Let f be a real-valued function defined an open interval U. If f is twice differentiable at u, then f' is continuous at u right? Does that mean that there exists a neighborhood around u where f' exists for all points in this neighborhood?(adsbygoogle = window.adsbygoogle || []).push({});

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

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!

# Existence of Derivatives in a Neighborhood

Loading...

Similar Threads - Existence Derivatives Neighborhood | Date |
---|---|

Can relative maximum and minimum exist when the derivative... | Jun 14, 2015 |

Do derivatives always exist in a neighborhood? | Sep 21, 2010 |

When does derivative of complex Log exist? | May 30, 2010 |

Existence of Derivative Proof | May 19, 2009 |

Examples where it's Riemann integrable but no derivative exists at pts | Nov 17, 2008 |

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