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Playlist Applications of Derivatives
Applications of Derivatives
• Created By Summit Math
• By the time you finish this playlist, you should be able to:
1. apply the Mean Value Theorem (Apply Mean Value Theorem to find missing values in equations)
2. use derivatives to solve problems involving position, velocity, and acceleration
3. use derivatives to determine the concavity of graphs
4. solve related rates problems
5. solve problems that optimize quantities

By the time you finish this playlist, you should be able to define and give an example of the following terms:

Vocab:
Mean Value Theorem
Position Function
Velocity Function
Acceleration Function
Inflection points
Critical points
Absolute maximum
Relative maximum
Absolute minimum
Relative minimum
First derivative test
Second derivative test
Concavity
Related rates

 Introductory Materials 1 1 3 0 Find values that satisfy the Mean Value Theorem for a given function on a specific interval [2 questions on the Content Assessment] 3 0 12 0 1 0 1 0 Solve problems dealing with the relationship between position, velocity, and acceleration [2 questions on the Content Assessment] 3 1 2 1 6 0 Analyze curves using first and second derivatives to find critical points, increasing/decreasing intervals, inflection pionts, and concavity intervals [2 questions on the Content Assessment] 3 0 5 1 3 1 4 0 Optimize functions by calculating absolute and relative extrema [2 questions on the Content Assessment] 4 0 5 0 1 0 2 1 Use differentiation to solve related rates problems [2 questions on the Content Assessment] 1 0 1 0 4 0 0 0 0 0 0 0 Content Assessment 0 0