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Applications of Differential Calculus
Chapter 21
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Increasing and Decreasing Functions
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Example 1
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Example 2
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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.
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Example 1 Example 2
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Rates of Change
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Example
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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.
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Example
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Example
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