# Derivatives

### Quizzes

1. |
The graph below shows a function f and a line:
The line is -> tangent tof at a |

2. |
Each graph below shows a function f and a line. Which line is NOT tangent to its corresponding function? -> Picture |

3. |
Three of the following phrases mean the same thing. Which phrase does not mean the same as the others? -> slope of f at a |

4. |
At which value of x is the slope of f closest to zero? PICTURE: mult choice 2-5 without red -> |

5. |
The graph shows a function f. PICTURE: mult choice 2-3 Which derivative is greatest? -> |

6. |
Find the tangent line to f(x) = x^{2} at -1. -> y = -2x - 1 |

7. |
Find f'(2), where f and its tangent line at 2 are shown below: PICTURE: mult choice 2-6 -> 1 |

8. |
Consider the function f shown below: PICTURE: mult choice 2-4 -> We can draw a tangent line to |

9. |
Use a local linearization to approximate cos(1.5), given that the derivative of cos(x) at π/2 is -1. -> 3.07 |

10. |
Which of the following statements cannot be true of any function f? -> f is both continuous and differentiable. |