AP Calculus AB Crossword Puzzle

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Across
  1. 1. The rate of change of velocity over time
  2. 3. The process of using the first derivative and second derivative to graph a function or relation
  3. 7. The rate of change of the position of an object
  4. 9. An integration method that essentially involves using the chain rule in reverse using 'u'
  5. 12. A major theorem of calculus that relates values of a function to the value of its derivative
  6. 15. Varying in such a way that it either never decreases or never increases
  7. 16. A theorem of calculus that ensures the existence of a critical point between any two points on a 'nice' function that has the same y-value
  8. 21. The change in the value of a quantity divided by the elapsed time. For a function, this is the change in the y-value divided by thechange in the x-value for two distinct points on the graph
  9. 23. A graph or part of a graph that looks like a right-side-up bowl or part of a right-side-up bowl
  10. 25. A point (x,y) on the graph of a function at which the derivative is either 0 or undefined
  11. 27. The process of finding an integral, either a definite integral or an indefinite integral
  12. 30. A theorem verifying that the graph of a continuous function is connected
  13. 32. A line or curve that the graph of a relation approaches more and more closely the further the graph is followed
  14. 33. A function that gives the slope of a curve: that is, the slope of the line tangent to a function
  15. 34. The lowest point in a particular section of a graph
  16. 37. Either a limit from the left or a limit from the right
  17. 41. A "number" that indicates a quantity, size, or magnitude that is larger than any real number
  18. 44. An extreme value of a function. In other words, the minima and maxima of a function. May be relative or absolute
  19. 46. A method for determining whether a critical point is a minimum, maximum, or neither
  20. 47. An integral which is evaluated over an interval
  21. 48. A point at which the graph of a relation or function is not connected
  22. 49. A discontinuity for which the graph steps or jumps from one connected piece of the graph to another
  23. 50. The family of functions that have a given function as a common derivative
Down
  1. 2. A removable discontinuity is a point on the graph that is undefined or does not fit the rest of the graph
  2. 4. A technique for finding the volume of a solid of revolution
  3. 5. The highest point over the entire domain of a function or relation
  4. 6. A point at which a curve changes from concave up to concave down
  5. 8. A graph or part of a graph that looks like an upside-down bowl or part of an upside-down bowl
  6. 10. The change in the value of a quantity divided by the elapsed time
  7. 11. A class of problems in which rates of change are related by means of differentiation
  8. 13. The magnitude of a real number without regard to its sign
  9. 14. A formula for the derivative of the product of two functions
  10. 17. An approximation of the definite integral. Has three methods: Left, Right, and Trapezoidal
  11. 18. A line about which a plane figure is rotated in three-dimensional space to create a solid or surface
  12. 19. The lowest point over the entire domain of a function or relation
  13. 20. d/dx f(g(x))=f'(g(x))g'(x)
  14. 22. A function that has a given function as its derivative
  15. 24. Theorem of Calculus The theorem that establishes the connection between derivatives, antiderivatives, and definite
  16. 26. A method for determining whether a critical point is a relative minimum or maximum
  17. 28. A technique for finding the volume of a solid of revolution. This method is a specific case of volume by parallel cross-sections
  18. 29. The value that a function or expression approaches as the domain variables approach a specific value
  19. 31. A line that touches a curve at a point without crossing over. Formally, it is a line that intersects the differentiable curve at a point where the slope of the curve equals the slope of the line
  20. 35. A method for finding the derivative of an implicitly defined function or relation
  21. 36. The unbroken and consistent existence or operation of something over a period of time
  22. 38. A technique used to evaluate limits of fractions that evaluate indeterminate expressions. This is done by finding the limit of the derivatives of the numerator and denominator
  23. 39. A formula for the derivative of the quotient of two functions
  24. 40. A tiny or infinitesimal change in the value of a variable
  25. 42. A circle of unit radius that is, a radius of 1
  26. 43. The highest point in a particular section of a graph
  27. 45. A technique for finding the volume of a solid of revolution. A generalized version of the disk method