# Derivatives

### Quizzes

1. |
Find the slope of the secant line between the two points shown on the graph of f(x) = cos(x): |

2. |
Let f(x) = x^{2} - 1. Find the slope of the secant line between the points (-1,f(-1)) and (2,f(2)). |

3. |
Which picture most closely resembles the limit definition of the derivative of f at a?→ |

4. |
The derivative of f(x) = |x-1| at x = 1 is |

5. |
Let y = f(x) and assume f'(a) exists. Which of the following quantities must equal f'(a)?→$\frac{dx}{dy}\Big|_{y = a}$ |

6. |
If x is measured in cookies, y is measured in glasses of soda, and z is measured in slices of cake, then is measured in→slices of cake per glass of soda |

7. |
Use the limit definition to find the derivative of f(x) = x^{2} + x at x = 2.→5 + h |

8. |
Use the following table to estimate the derivative of f at x = 4..25 |

9. |
If f(1) = 12 peacocks and f(5) = 36 peacocks, find the average rate of change of f with respect to x on the interval from 1 to 5. The value of x is measured in chocolate bars. peacocks per chocolate bar |

10. |
Let f be a function. Which of the following statements is true?→The slope of f at a is the same thing as the derivative of f at a. |