Pi Day

12345678910111213141516171819202122232425262728293031323334353637383940
Across
  1. 3. a function that gives the slope of f (x) at each value of x.
  2. 7. the minimum and maximum of a function on an interval; extreme values
  3. 9. csc(x)
  4. 10. ______ Theorem, used to prove the Mean Value Theorem
  5. 11. sec(x)
  6. 13. ____ side limit.
  7. 14. a formula for computing the derivative of the composition of two or more functions
  8. 16. a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
  9. 19. a^3 + b^3
  10. 21. ________values, the x value when the derivative of the relative extrema is either 0 or DNE
  11. 22. short for trigonometry
  12. 23. point of ___________ if the function changes from concave upward to concave downward, or vice versa, at that point.
  13. 24. line that a curve approaches, as it heads towards infinity
  14. 27. concave_________ a function on an interval when f"(x) is negative for every point on that interval.
  15. 28. a function's derivative exists at that point
  16. 30. cot(x)
  17. 32. a physical quantity that is completely described by its magnitude
  18. 33. the continuous line forming the boundary of a closed geometric figure.
  19. 35. a variable to represent a measured angle
  20. 36. the value that a function approaches as the input approaches some value.
  21. 38. y – y1 =; m(x – x1)
  22. 39. refers to something without any limit.
  23. 40. LowDHigh - HighDLow all over low squared
Down
  1. 1. When the discontinuity can be redefined at the point of discontinuity so that it will be continuous there
  2. 2. a^3 - b^3
  3. 4. The rate of change of velocity over time
  4. 5. an alignment in which the top is always above the bottom
  5. 6. a straight line from the center to the circumference of a circle or sphere.
  6. 8. the m in y=mx+b
  7. 12. _________value is the image under f of a critical point.
  8. 15. The second, third derivative, and so forth for some function.
  9. 17. Abbreviation for Mean Value Theorem
  10. 18. Anything parallel to the horizon
  11. 20. opposite/hypotenuse
  12. 24. _________ min/max Largest and smallest the function will ever be
  13. 25. 1D2 + 2D1
  14. 26. opposite/adjacent
  15. 29. adjacent/hypotenuse
  16. 31. This line is a straight line that just touches the function at a particular point and has the same slope as the function at that point.
  17. 34. getting rid of a square root in either the denominator or the numerator
  18. 37. concave _________ a function on an interval when f"(x) is positive for every point on that interval.