Does the second derivative test fail for x(adsbygoogle = window.adsbygoogle || []).push({}); ^{3}at x=0:

f^{'}(x)=3x^{2}f^{''}(x)=6x ,

for x=0,

f^{'}(0)=0 & f^{''}(0)=+ve ,

so it should be a point of local maxima , but it is not!!!!!!!!!!

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

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

# Second derivative test for x^3

Loading...

Similar Threads - Second derivative test | Date |
---|---|

Second derivative test | Jun 6, 2015 |

Second Derivative Test for Local Extrema | Apr 5, 2014 |

The Second derivative test for Concavity | Apr 2, 2014 |

Second derivative test and hessian matrix | Feb 20, 2014 |

Visualizing second derivative test - Hessian | Dec 1, 2013 |

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