Derivative Applications

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Across
  1. 4. Another name for concavity.
  2. 6. This is what the original function f is doing if it has a positive derivative.
  3. 10. This derivative test determines the intervals on which f is increasing/decreasing.
  4. 11. This extrema takes place only near the value x=c, but possibly not globally.
  5. 12. This "value theorem" states the existence of a location where the slope of the tangent equals the slope of the secant.
  6. 13. This value is where the first derivative is undefined or zero.
  7. 15. If a function has a derivative everywhere, then this is the value of the derivative at a critical point.
  8. 16. Another name for the "steepness" of a function.
Down
  1. 1. The second derivative determines this.
  2. 2. This is a point where the functions concavity changes.
  3. 3. What is f is doing if f''<0.
  4. 5. These values are the lowest and highest values on a graph.
  5. 7. We need this type of chart to find all local max and mins.
  6. 8. A word to describe the act of finding the best result.
  7. 9. The highest value of the graph is the ________ value.
  8. 14. At a maximum, a function can be concave ________.