Hint | Answer |

if a < b and f(a) = f(b) then the function is ____________ | |

the _________________ states that if x is continuous on [a,b] and differentiable on (a,b) then there exists a c on the interval (a,b) such that f '(c) = (f(b)-f(a)/(b-a) | |

the __________________ states that if f is continuous on [a,b] and differentiable on (a,b) and f(a) = f(b), then there exists a c on the interval (a,b) such that f '(c)=0. | |

If f ''(x) > 0 then f is _________. | |

If f ''(x) < 0 then f is __________. | |

Find the limit as x approaches 1 of ((2 - (5/(x-1)^2)) | |

Use differentials to approximate (4.9)^(1/2) or the square root of 4.9 (to the third decimal) | |

To find the maximum and minimum values of a function y=f(x), locate the points where f'(x) changes sign and the ___________. | |

Find the absolute maximum and minimum values (with both the x and y coordinates) of f(x)=3x^2 -24x-1 on the interval [-1,5] | |

Find the point(s) of inflection of f(x)=x^3-3x^2 (only the x-coordinate) | |

Find the limit as x approaches -1 of (x^2+6x+5)/(x^2-3x-4) | |

Find the limit as x approaches 0 of ((x+4)^1/2 - 2)/x | |

Find the limit as x approaches 0 of sin5x/x | |

A function is not differentiable if it is not continuous or has a ______________. | |

x-values at which f'(x)=0 or f'(x) is undefined are __________. | |

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