AP Calculus Crossword Puzzle

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Across
  1. 1. f'(g(x))g'(x)
  2. 3. The lowest point of a function
  3. 5. The rate at which an object is moving at a particular moment
  4. 6. (g(x)f'(x)- f(x)g'(x))/(g(x)^2))
  5. 8. nx^n-1
  6. 11. Rates of change are related by differentiation
  7. 12. The distance between a number and the origin
  8. 14. A process that maximizes or minimizes some quantity to have the best fit
  9. 17. The x-value of a critical point
  10. 19. A line that touches a curve at a point without crossing the cure
  11. 21. A point where the graph has a peak or a valley
  12. 24. The rate of change of velocity over time
  13. 26. The rate of change in the position of an object
  14. 27. Hole in the graph
  15. 31. Does not include its endpoints
  16. 33. y' = dy/dx
  17. 35. Determines whether the function is concave down, or neither at a point
  18. 36. A point at which the graph is not continuous
  19. 37. A function that moves upward from left to right
  20. 38. Determines whether a point is a minimum, maximum, or neither
  21. 39. f(x)g'(x)+g(x)f'(x)
  22. 40. Gives points of inflection
  23. 41. A part of the graph that looks like a frown
Down
  1. 2. The highest point of a function
  2. 4. A point at which a graph is connected
  3. 7. The rate of change (value of the derivative) at a particular moment
  4. 9. Finding the derivative of a function
  5. 10. A line or curve that the graph follows closely but never touches
  6. 13. Distance covered per unit of time
  7. 15. A function with a graph that moves downward from left to right
  8. 16. Where the function changes from concave up to concave down or vice versa
  9. 18. A point on the graph of a function at which the derivative is either 0 or undefined
  10. 20. The value that a function approaches as the domain variable approaches a specific value
  11. 22. A function obtained by switching the x and y variables in a function
  12. 23. The slope of the line tangent to a function
  13. 25. A part of the graph that looks like a smile
  14. 28. When the graph of a function is continuous
  15. 29. f'(c)= f(b)-f(a)/b-a
  16. 30. Finding the derivative of the numerator and denominator to evaluate the limit of a function
  17. 32. Slope of a function
  18. 34. An interval that contains its endpoints