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Applications of Differential Calculus

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Presentation on theme: "Applications of Differential Calculus"— Presentation transcript:

1

2 Applications of Differential Calculus
Chapter 21

3 Increasing and Decreasing Functions

4 Example 1

5 Example 2

6 Stationary Points A stationary point could be a local maximum, local minimum, or a horizontal inflection. *The global maximum or global minimum is the maximum or minimum value of the entire domain.

7 Example 1 Example 2

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10 Rates of Change

11 Example

12 Optimization (finding the maximum or minimum value for a function)
IMPORTANT: The maximum or minimum does not always occur when the first derivative is zero. Also examine the values of the function at the endpoints of the domain.

13 Example

14 Example

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