Calculus Crossword Puzzle

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Across
  1. 2. The point on a function that has the lowest value
  2. 3. When a graph approaches a certain value, but never reaches making the value discontinuous but the limit exists.
  3. 5. Fundamental derivative rule for deriving more than one function that are added or subtracted together
  4. 8. The rate of change of a variable with respect to another variable
  5. 9. Original function of a derivative
  6. 10. Fundamental derivative rule for deriving a constant
  7. 14. A rule for finding the area under a curve that involves using the midpoints of a certain number of subintervals
  8. 15. A discontinuity that is caused when a point of a graph is undefined and the limit does not exist
  9. 18. Fundamental derivative rule for deriving a function multiplied by a constant
  10. 21. A method for finding the area under a curve that involves using the right endpoints of a function and adding the area of rectangles with unequal widths
  11. 24. The shape of the second derivative of a function where the slope of the original function f is decreasing on the interval
  12. 27. a method of differentiation for functions that involve multiple variables; involves separation of variables and isolating dy/dx, or the slope in question
  13. 28. The value found by integrating the absolute value of a velocity function
  14. 29. The integral of a function within two endpoints of a certain interval, gives back a numerical answer
  15. 34. A method for finding the area under a curve by dividing an interval into equal subintervals and adding up the area of trapezoids
  16. 38. The starting point of a function, used to find a particular solution of a function
  17. 40. i
  18. 41. Derivative rule for deriving the composition of two functions
  19. 43. If it is known that two functions have the same limit as the x-value approaches a certain value a, then it is guaranteed that the limit of a function that lies in between those two functions also has the same limit as x approaches that value a.
  20. 44. Fundamental derivative rule for deriving two functions multiplied together
  21. 46. The specific value of C given an initial condition of a function
  22. 47. A graph of the slope of a function at different points of a plane
  23. 48. The point on a function that has the greatest value
  24. 50. When a function increases or decreases without a bound as x approaches c
  25. 51. Fundamental derivative rule for deriving variables raised to a number power
  26. 52. The definite integral of a function can be found by subtracting the antiderivatives of a function at the two endpoints of an interval, returns a number answer that represents the total change of a variable in that interval
  27. 53. The derivative of the position function
Down
  1. 1. The derivative test that involves finding the critical numbers of a function within an interval
  2. 4. The derivative of the velocity function
  3. 6. A method for finding the area under a curve that involves using the left endpoints of a function and adding the area of rectangles with unequal widths
  4. 7. By substitution, a limit reaches a result that is discontinuous (0/0)
  5. 11. A point on a function f where the concavity is changing direction
  6. 12. Calculus problems that involve finding the rate of change of an object or value with respect to the rate of change of another object or value in real-world situations
  7. 13. A line that touches a curve or a function at two points
  8. 16. The slope of the tangent line equals the slope of the tangent line
  9. 17. A point where a function changes directions to either increasing or decreasing
  10. 19. A value C that is added to an integral to show that the value of any integral may differ by some constant value
  11. 20. Fundamental derivative rule for deriving a function divided by another fraction
  12. 22. If k is a number between f(a) and f(b), there is at least one number c in [a,b] where f(c) = k
  13. 23. The shape of the second derivative of a function where the slope of the original function f is increasing on the interval.
  14. 25. Calculus problems that involve creating and using multiple formulas from given information to find the maximum or minimum of a function in a certain scenario
  15. 26. If a function approaches the same value y from both the right and left side of the graph, then that function has a limit as it approaches that x-value.
  16. 30. An indefinite integral of a function that returns an Accumulation function that can help find other function values
  17. 31. An integration formula for the average value of a function between two endpoints
  18. 32. A method used to find the volume of a particular solid that crosses a point of a bounded region
  19. 33. A method used to find the volume of a bounded region by rotating the function across a line of revolution
  20. 35. If f(a) = f(b), then there is at least one instance where the slope of a number in the interval is zero
  21. 36. A function has a minimum and maximum on the interval [a,b]
  22. 37. Uses derivative to solve indeterminate limits
  23. 39. The integral of a function in which the upper and lower limits are not specified, giving back an expression plus the constant of integration C that can be used for substituting into to find particular solutions
  24. 42. The derivative test that involves finding the points of inflection of a function within an interval
  25. 45. A method used to find the volume of a bounded region that when rotated across a line of revolution, features a gap of empty space in between the region
  26. 49. A linear slope that determines the rate of change at a certain point