AP Calculus Pi Day Crossword

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Across
  1. 3. A function is continuous if it can be drawn without lifting the pen from the paper.
  2. 7. rule: A rule for finding the derivative of a composition of functions.
  3. 9. A point on a curve where the function has its smallest value.
  4. 10. The value a function approaches as the input approaches a particular value or infinity.
  5. 11. The area under a curve.
  6. 13. point: A point on a curve where the derivative is zero or undefined.
  7. 15. differentiation: A technique for finding the derivative of a function that is not explicitly defined.
  8. 16. rule: A rule for finding the derivative of a quotient of functions.
  9. 18. rates: A technique for finding the rates of change of two or more related variables.
  10. 20. A line that a curve approaches but never touches.
  11. 21. theorem of calculus: A theorem that relates differentiation and integration.
  12. 22. A relation that assigns to each input value exactly one output value.
Down
  1. 1. rule: A rule for finding the derivative of a product of functions.
  2. 2. The rate of change of a function at a specific point.
  3. 3. The upward or downward curvature of a curve.
  4. 4. point: A point on a curve where the concavity changes.
  5. 5. A point on a curve where the function has its greatest value.
  6. 6. sum: An approximation of the area under a curve using rectangles.
  7. 8. The inverse operation of differentiation.
  8. 12. rule: A rule for finding the limit of a function that approaches 0/0 or infinity/infinity.
  9. 14. value theorem: A theorem that states that there is a point where the derivative of a function is equal to the average rate of change of the function.
  10. 17. line: A line that touches a curve at a single point and has the same slope as the curve at that point.
  11. 19. A technique for finding the maximum or minimum value of a function.