Applications of derivatives flash cards

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Applications of derivatives flash cards

  1. 1. Go Go Gryffindor<br />Applications of Derivatives<br />
  2. 2. Optimization<br />FLASH Cards!<br />
  3. 3. Using an equation’s derivative to find a local/absolute maximum or minimum that identifies the ideal or best case scenario.<br />Optimization<br />
  4. 4. Related Rated<br />
  5. 5. Problems that use an equation and it’s derivative with respect to time to describe the way an object/ area changes over time and to predict how the object/area will behave.<br />Related Rates<br />
  6. 6. The extreme value theorem<br />
  7. 7. If a function f is continuous on [a,b] then it will have an absolute max and min.<br />The Extreme Value Theorem <br />
  8. 8. Local extrma<br />
  9. 9. 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<br />Local Extrema<br />
  10. 10. Absolute extrma<br />
  11. 11. The highest/lowest point on a graph in a given interval. Absolute Extrema cannot be asymptotes.<br />Absolute Extrema<br />
  12. 12. Points of inflection<br />
  13. 13. Points where the concavity changes from positive to negative.<br />Points of Inflection<br />

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