Calculus AB Crossword Puzzle

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Across
  1. 2. Limits can approach any value including positive and negative _____
  2. 11. The original function of a derivative.
  3. 14. First derivative of the position function
  4. 15. Adheres to this property: f(-x) = -f(x).
  5. 16. Whenever y=f(x) then x=g(y)
  6. 17. Slope of the tangent at a point
  7. 19. For the ____ sum, the greater value in each subinterval is chosen.
  8. 20. Approximation of the area of a function using rectangles under the curve
  9. 23. Second derivative of the position function
  10. 26. Derivative of cot(x)
  11. 27. The ____ value theorem states that if a function is continuous over a closed interval [a, b], there is a maximum and a minimum value in that interval.
  12. 29. ____ maxima or minima are the biggest or smallest values in a certain range.
  13. 32. An integral with no limits of integration.
  14. 35. It is the least value of f(x) over a defined interval of x, provided y=f(x).
  15. 36. In ____ intervals, the endpoints are included.
  16. 37. If the left-hand limit and the right-hand limit of a function as x approaches a are not equal, then the limit ____________
  17. 38. Derivative of csc(x).
  18. 40. An absolute value function is an example of a ____________________ function
  19. 43. The ____ value theorem states that for a closed interval [a, b], is f(x) is continuous, it takes (at some point) every value between f(a) and f(b).
  20. 45. ____ maxima or minima are the biggest or smallest values in the whole graph.
  21. 46. It is the greatest value of f(x) over a defined interval of x, provided y=f(x).
  22. 47. If a variable is raised to another variable, take the ____ ____ of both sides
  23. 48. x=c is a ____ value if the derivative of c is zero or undefined.
  24. 50. A simple device in calculus to determine the derivative of a monomial.
Down
  1. 1. In ____ intervals, the endpoints are not taken into consideration.
  2. 3. You cannot isolate y on one side of the equation in ____ functions.
  3. 4. When approximating an integral in calculus we may treat each partition as a Trapezoid to determine the area under the curve.
  4. 5. A function is _________________ at a if f'(a) exists
  5. 6. An integral between limits of integration is a ___
  6. 7. For the ____ sum, the lowest value in each subinterval is chosen.
  7. 8. If a function is not continuous at a, f has a ____________________ at a
  8. 9. Where f(x) is the biggest or smallest value for a while.
  9. 10. When the sum of their expanded terms reaches a boundary or limit
  10. 12. Derivative of cos(x).
  11. 13. A function is ____ over an interval [a,b] if it is constantly increasing or constantly decreasing.
  12. 18. The rate of change of y with respect to x
  13. 21. Derivative of sec(x).
  14. 22. When a curve changes direction.
  15. 24. A line the crosses a function at two points
  16. 25. The first times the derivative of the second plus the second times the derivative of the first
  17. 28. You can isolate y on one side of the equation in ____ functions.
  18. 30. The limit of a product is the product of the __________
  19. 31. In the ____ value theorem, there is some point c between points a and b such that the slope of the line tangent to c is equal to the slope of the secant between point a and b.
  20. 33. A line that touches a function at one point
  21. 34. Derivative of tan(x)
  22. 39. If a graph has no gaps, no holes, no steps, or discontinuities it is ___
  23. 41. The derivative of a constant ZERO
  24. 42. A line (or curve) that a function approaches without actually reaching the line.
  25. 44. Used to compute the derivative of a composite function
  26. 49. Derivative of sin(x).