Captivating & Compelling Calculus

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Across
  1. 3. (uv)= u'v + uv'
  2. 5. A line of symmetry for a graph.
  3. 10. The rate of change in the position of an object.
  4. 13. A function with a graph that is symmetric with respect to the origin.
  5. 14. A sum of the area under a curve where the domain is divided into sub-intervals and the height of each rectangle is the function value at the right endpoint of the sub-interval.
  6. 15. Combining two functions by substituting one function's formula in place of each x in the other function's formula.
  7. 17. Points on the end of a function.
  8. 18. The highest point on a graph.
  9. 20. Symmetric with respect to the y-axis.
  10. 24. When the graph of a function is continuous.
  11. 28. a in the expression a^x
  12. 30. The average of a set of numbers.
  13. 31. Hole in the graph.
  14. 33. The rate at which an object is moving at a particular moment.
  15. 35. -b±√b²-4ac / 2a
  16. 36. Every number in the range corresponds to one number in the domain.
  17. 37. Change of steepness in a graph.
  18. 38. Distance covered per unit of time.
  19. 39. The lowest point on a graph.
  20. 40. The lowest point in a particular section of the graph.
  21. 44. The slope of the line tangent to a function.
  22. 45. A circle whose center is at the origin and has a radius of one.
  23. 46. Determines whether a point is a minimum, maximum, or neither.
  24. 50. An approximate calculation of quantity or degree or worth.
  25. 52. y' = dy/dx
  26. 55. Determines whether the function is concave down, or neither at a point
  27. 58. A process that maximizes or minimizes some quantity to have the best fit.
  28. 59. The line perpendicular to a function.
  29. 60. The value that a function is approaching as x approaches a given value through values less than x
  30. 62. The rate of change of velocity over time.
  31. 63. The value that a function is approaching as x approaches a given value through values more than x
Down
  1. 1. A line that touches a curve at a point without crossing the cure.
  2. 2. When there is a range on a function or set of numbers.
  3. 4. Slope of a function.
  4. 6. A function obtained by switching the x and y variables in a function.
  5. 7. Obtaining the derivative of a function.
  6. 8. A line or curve that the graph follows closely but never touches.
  7. 9. The distance between a number and the origin.
  8. 11. A function that is only increasing or only decreasing.
  9. 12. Gives points of inflection.
  10. 16. Having the same shape, size, and position on both sides of a dividing line.
  11. 19. The interval between two points.
  12. 21. An interval that contains its endpoints.
  13. 22. Rates of change are related by differentiation.
  14. 23. A function with a graph that moves downward from left to right.
  15. 25. The highest point in a particular section of the graph.
  16. 26. The rate of change (value of the derivative) at a particular moment.
  17. 27. A point where the graph has a peak or a valley.
  18. 29. The value that a function approaches as the domain variable approaches a specific value
  19. 32. Finding the derivative of the numerator and denominator to evaluate the limit of a function.
  20. 34. A line about which a figure is rotated to create a solid.
  21. 40. The set of y-values of a function.
  22. 41. A function that moves upward from left to right.
  23. 42. When a function has a well-defined derivative for each element of the domain.
  24. 43. A point on the graph of a function at which the derivative is either 0 or undefined.
  25. 47. The highest point of a function.
  26. 48. Where the function changes from concave up to concave down or vice versa.
  27. 49. Does not include its endpoints.
  28. 51. y= constant
  29. 53. The lowest point of a function.
  30. 54. b in the expression logb x
  31. 56. The x-value of a critical point.
  32. 57. The distance a function is from the axis.
  33. 61. The set of x-values for which a function is defined.