# 4.3

rename
harryprim's
version from
2015-11-05 06:15

## Section

Question | Answer |
---|---|

Fermat's Theorem | If f(c) is a local extrema and f is differentiable, then f'(c)=0 |

Local Extrema always.... | occur at critical points, but not all critical points are local extrema |

Mean Value Theorem | If f is continuous on (a,b) & [a,b], then f'(c)=(f(b)-f(a))/b-a |

If f''(c)>0, then... | c is a local minium of f & concave up |

If f''(c)<0, then... | c is a local maximum of f & concave down |

f is increasing/decreasing if,,, | f'(x)>0 / f'(x)<0 |

To find if f is increasing... | Set up a number line with critical points and take the a value in each interval and plug into f'(x) |

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