File | Description | File size |
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4.13.warmup.ii.pdf | 270 kB | |

4.13.warmup.pdf | 289 kB |

Here are some review answers!

File | Description | File size |
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4.7.review.pdf | 198 kB | |

4.7.warmup.pdf | 3562 kB |

Resources

- Notes

Assignment

- p184 #1-33

File | Description | File size |
---|---|---|

4.1.notes.pdf | 556 kB |

Resources

- Notes

Assignment

- p184 #35-51

File | Description | File size |
---|---|---|

Unit 4.2 Critical Points notes2.pdf | 258 kB |

Resources

- Notes: Increasing and Decreasing Functions
- Notes; Mean Value Theorem

Assignment

- p192 #1-23, 39-41

File | Description | File size |
---|---|---|

4.3.a.notes.pdf | Increasing and Decreasing Functions | 242 kB |

4.3.mvt.notes.pdf | Mean Value Theorem | 192 kB |

The process of antidifferentiation takes a derivative, and asks, "What would original function would you differentiate to make this derivative?" You will not be able to find the original function unless a coordinate is provided, as each anti-derivative includes a constant C. However, we can still find important features of the function, such as where extrema occur, or where points of inflection may occur. Today we will start looking at graphing functions based on information obtained from the first and second derivatives.

Resources:

- Notes

Assignment:

- p192 #25-37, 43, 45, 47, 51

Things you should know after today:

- given f'(x), determine the antiderivative
- given f'(x) and a coordinate on f(x), determine the antiderivative inculding the constant term

File | Description | File size |
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4.4.notes.pdf | 363 kB | |

4.5.notes.pdf | 4658 kB |

The process of antidifferentiation takes a derivative, and asks, "What would original function would you differentiate to make this derivative?" You will not be able to find the original function unless a coordinate is provided, as each anti-derivative includes a constant C. However, we can still find important features of the function, such as where extrema occur, or where points of inflection may occur. Today we will start looking at graphing functions based on information obtained from the first and second derivatives.

Resources:

- Notes

Assignment:

- p203 #1-29

Things you should know after today:

- determine where a function is increasing/decreasing
- determine concavity of a function
- determine the location of extrema
- determine inflection points

File | Description | File size |
---|---|---|

4.5.notes.pdf | 4658 kB |

One of the applications of derivatives is to use critical points to identify extrema. This is often related to finding maximum or minimum values in applications. While you should determine whether the extrema found is a maximum or minimum, sometimes it is not strictly necessary because in the context of the problem, the type of extrema identified by your critical point is obvious.

Resources:

- Notes

Assignment:

- p214 #1-20
- p216 #25-27, 31-35, 37
- p218 #41, 42, 47-49, 53

File | Description | File size |
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4.10.notes.a.pdf | 372 kB | |

4.8.notes.b.pdf | 399 kB | |

4.8.notes.c.pdf | 522 kB |

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