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This Calculus AB/BC - Connecting a Function, Its First Derivative, and Its Second Derivative ap test prep also includes:
Uncover what the first and second derivatives reveal about the function. Pupils move beyond sketching graphs to determine what derivatives tell about the function itself. The video reminds learners about particle motion and how to determine whether the particle is speeding up or slowing down based on the first and second derivatives. Given a function table, scholars find out whether a function is increasing or decreasing and its concavity before putting their skills to work with provided worksheets.
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Instructional Ideas
- Remind the class on how to find velocity and acceleration functions given a position function for particle motion
Classroom Considerations
- Assumes individuals know how to calculate first and second derivatives
- Serves as the 10th installment of the 14-part unit Analytical Applications series
- This video is hosted on YouTube
Pros
- Includes a note-taking organizer that corresponds with the video
- Contains detailed answer keys
Cons
- None