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# Applications of derivatives flash cards

## on Jun 06, 2011

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## Applications of derivatives flash cardsPresentation Transcript

• Go Go Gryffindor
Applications of Derivatives
• Optimization
FLASH Cards!
• Using the derivative to find the most efficient way to handle a situation.
Optimization
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• Related Rated
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• Problems that use an equation and it’s derivative to describe the way an object/ area changes over time and to predict how the object/area will behave
Related Rates
• The extreme value theorem
• If a function f is continuous on [a,b] then it will have an absolute max and min.
The Extreme Value Theorem
• Local extrma
• The highest/ lowest point in a neighborhood of a graph, points where a graph changes from increasing to decreasing or decreasing to increasing. Local Extrema cannot be asymptotes
Local Extrema
• Absolute extrma
• The highest/lowest point on a graph in a given interval. Absolute Extrema cannot be asymptotes.
Absolute Extrema
• Points of inflection
• Points where the concavity changes from positive to negative.
Points of Inflection