Ap Calculus Spring Project

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Across
  1. 2. Used to classify critical points and determine concavity
  2. 3. A function is this when its derivative is negative on an interval
  3. 4. Finding the maximum or minimum value of a function in context
  4. 6. Where the derivative equals zero or is undefined
  5. 11. Type of discontinuity that can be fixed by redefining one point
  6. 12. Differentiation technique used when y is not isolated on one side
  7. 13. The quality of curving upward or downward, determined by the second derivative
  8. 15. The ratio of rise to run; the steepness of a line or tangent line
  9. 17. A point where the concavity of a function changes sign
  10. 18. Numerical integration rule using trapezoids instead of rectangles
  11. 19. Differentiation rule used when one function is composed inside another
  12. 21. The accumulation of quantities; the area under a curve
  13. 23. Type of discontinuity where left and right limits exist but differ
  14. 24. This value theorem guarantees a function hits every value between two outputs
  15. 26. Type of maximum or minimum over the entire domain of a function
  16. 30. Rule for differentiating a fraction of two functions
  17. 32. Type of sum used to approximate the area under a curve with rectangles
  18. 35. A break, hole, or jump in the graph of a function
  19. 36. Type of maximum or minimum occurring in a small neighborhood of a point
  20. 37. The value a function approaches as x gets closer to a given point
  21. 38. Type of discontinuity involving a vertical asymptote
Down
  1. 1. The instantaneous rate of change of a function at a point
  2. 5. Rule used to evaluate indeterminate forms like 0/0 or infinity/infinity
  3. 7. A function whose derivative gives back the original function
  4. 8. This theorem of calculus connects differentiation and integration
  5. 9. A function is this if its derivative exists at every point in its domain
  6. 10. Type of rates problem involving multiple variables changing over time
  7. 14. Approximating a curve near a point using the tangent line
  8. 16. Rule used to differentiate the product of two functions
  9. 20. Line connecting two points on a curve
  10. 22. The maximum and minimum values of a function
  11. 25. A function is this when its derivative is positive on an interval
  12. 26. A line that a curve approaches but never touches
  13. 27. Theorem used to find a limit by trapping a function between two others
  14. 28. Theorem guaranteeing a point where instantaneous rate equals average rate
  15. 29. Line that touches a curve at exactly one point with the same slope
  16. 31. The shape of a curve that opens upward, like a bowl right-side up
  17. 33. Line perpendicular to the tangent line at a given point
  18. 34. Property of a function with no breaks, holes, or jumps on an interval