Calculus Crossword Puzzle

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Across
  1. 1. discontinuity When a function goes from one point to another
  2. 5. sqrt -x
  3. 8. value theorem If a function f(x) is continuous on a closed interval [a b] then f(x) has both a maximum and minimum value on [a b]
  4. 9. a curve that resembles a heart
  5. 10. ∑ x
  6. 11. There are two main type: differential and integral
  7. 12. Smallest value of a function
  8. 16. asymptote Function approaching a y value but never reaches
  9. 18. y²=x³
  10. 20. negating the second term of a binomial
  11. 22. A whole number that is not a fraction
  12. 23. The slope of the line tangent to a function.
  13. 26. Number multiplied by a value to get 1
  14. 31. Quotient
  15. 34. Product
  16. 35. y' = dy/dx
  17. 37. value theorem f'(c)= f(b)-f(a)/b-a
  18. 38. extrema A point where the graph has a peak or a valley
  19. 39. rule (uv)= u'v + uv'
  20. 43. Curved inwards
  21. 44. rule g(f') - f(g') / g²
  22. 45. A point at which the graph is not continuous
  23. 46. The value that a function approaches as the domain variable approaches a specific value.
  24. 47. A quantity representing the power to which a fixed number (the base) must be raised to produce a given number
  25. 49. number The x value of a critical point
Down
  1. 2. Largest value of a function
  2. 3. tangent Straight line that touches a function at only one point
  3. 4. rates Rates of change are related by differentiation.
  4. 6. Sum
  5. 7. value Distance between a number and the origin
  6. 13. 2 axis chart used to plot points
  7. 14. 4/3 πr^3
  8. 15. You get the product by multiplying these two
  9. 17. The rate of change of velocity over time
  10. 19. When the graph of a function is continuous
  11. 21. Each input has a single output
  12. 24. A point or value that marks the end of a ray or one of the ends of a line segment or interval
  13. 25. A letter that represents unspecified numbers.
  14. 27. y = x2 – 3
  15. 28. notation Adding up a series of variables
  16. 29. hospital Finding the derivative of the numerator and denominator to evaluate the limit of a function.
  17. 30. obtaining the derivative of a function
  18. 32. x/0
  19. 33. Rate of change
  20. 36. of change Ratio between a change in one variable relative to another
  21. 40. x values
  22. 41. e
  23. 42. Difference
  24. 48. y values
  25. 49. rule f'(g(x))g'(x)