# Second Derivatives and Beyond

### Quizzes

1. |
A critical point of a function f is a point at which -> f' is zero or undefined |

2. |
Which of the following statements about the function
is true? -> x = 0 is the only critical point of f. |

3. |
An inflection point of a function f is a point at which -> f" is zero or undefined |

4. |
Which of the following statements about the function f(x) = 4( x - 1 ) - 8 is true? -> x = 1 is the only inflection point of f. |

5. |
A maximum value of a function f is -> a y-value that is bigger than every nearby value of f. |

6. |
How many minima does the function f(x) = -5cos x have? -> one |

7. |
x = c is a critical point of the function f. The sign of f' is negative to the left of c and positive to the right of c. Which of the following statements is true? -> A minimum value of f occurs at x = c. |

8. |
x = c is a critical point of the function f. If f"(c) = 0, which of the following statements is true? -> The second derivative test says nothing at all about what occurs at x = c. |

9. |
If the derivative of a function f is f'(x) = ( x - 2 )(x + 5), which of the following statements is true? -> f has a minimum at x = 2 and a maximum at x = -5. |

10. |
The derivative of the function f is
Which of the following statements is true? -> |