Calculus Final

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