AP Calculus: Crossword Puzzle

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Across
  1. 1. Infinite series using powers of x
  2. 5. Area under the curve
  3. 6. When a series approaches a fixed value
  4. 7. asymptote Undefined value causing a graph to shoot up or down
  5. 9. value Theorem guaranteeing a point with average rate of change
  6. 18. Derivative of position
  7. 19. No jumps or breaks in a function
  8. 22. rule Rule used to differentiate a fraction
  9. 23. Instantaneous rate of change
  10. 24. asymptote Graph flattens out as x approaches infinity
  11. 27. up Bowl-shaped curve opening upwards
  12. 28. When a function has a derivative everywhere
  13. 29. down Bowl-shaped curve opening downwards
  14. 30. point Where the derivative is zero or undefined
Down
  1. 2. Sum of an infinite sequence
  2. 3. Approximate area under a curve using rectangles
  3. 4. The reverse of differentiation
  4. 8. rule Rule used to differentiate two multiplied functions
  5. 10. A line a graph gets close to but never touches
  6. 11. rule Approximate area using trapezoids
  7. 12. The ratio of rise to run
  8. 13. Derivative of velocity
  9. 14. Discontinuity that can be filled in
  10. 15. point Where concavity changes
  11. 16. What a function approaches
  12. 17. Discontinuity where a function jumps values
  13. 20. When a series increases without bound
  14. 21. Line perpendicular to the tangent
  15. 25. rule Rule used to differentiate composite functions
  16. 26. Line that touches a curve at one point