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Week 8 : Derivatives and the Shapes of Graphs, Indeterminate Forms, Optimization Problems

By the end of this week you should be able to :

- find intervals of increase/decrease of a function using the first derivative
- find local minimum and maximum points using the first derivative
- find intervals of concavity and inflection points of a function

Topic | Est. video completion time. | Textbook practice problems | |
---|---|---|---|

1 | What does \(f'\) tell me about \(f\) ? | 20 min | See topic # 2 |

2 | What does \(f''\) tell me about \(f\) ? | 15 min | Section 4.3: 1 - 7, 9 - 21 (odd), 25, 31 - 53 (odd). |

1. What does \(f'\) tell me about \(f\) ?

By the end of this lesson you should be able to :

- learning outcomes here

Once you have viewed the video complete the following problems from the textbook,

Notes:

2. What does \(f''\) tell me about \(f\)?

By the end of this lesson you should be able to :

- learning outcomes here

Once you have viewed the first 2 videos, complete the following problems from the textbook section 4.3: 1 - 7, 9 - 21 (odd), 25, 31 - 53 (odd).

Notes: