Calculus 50-Term Crossword

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Across
  1. 4. Points of __________ occur when the function changes concavity.
  2. 6. The _____________ rate of change is the slope of a function at a certain time.
  3. 8. The _____ rule differentiates f(x) = x^n to n * x^(n-1)
  4. 11. The antiderivative of velocity.
  5. 12. Functions that have no discontinuities.
  6. 16. We must find the ______ of a solid if a curve is revolved around the x-axis or y-axis.
  7. 19. The _______ rate of change is the slope of a function over the entire interval.
  8. 21. A method of integration where you swap certain variables with U and its derivative, dU.
  9. 22. The rate of change of a function with respect to a variable.
  10. 23. Type of function that undoes the action of another function.
  11. 24. A function is __________ if the slope of the function is negative.
  12. 28. The derivative of position.
  13. 31. The ______ maximum/minimum is the largest/smallest overall value in a set.
  14. 33. A function is __________ if the slope of the function is positive.
  15. 34. Type of discontinuity where the left limit doesn’t equal the right limit.
  16. 36. A ________ integral is the area under a curve between 2 fixed limits.
  17. 37. A _______ sum helps approximate a region’s area.
  18. 40. The limit as x approaches 0 in the function Sin(x)/x = ?
  19. 42. Relates to the rate of change of a function's derivative. Can be “up” or “down.”
  20. 43. The integral of a function can be seen as the ____ under the curve of the graph of the function.
  21. 44. a line that approaches a function but doesn’t meet it.
  22. 45. Derivative exists at each point in its domain; implies continuity.
  23. 46. When X approaches a value.
  24. 47. Type of line that touches a curve at one point.
  25. 48. The ______ method helps us calculate the volume between 2 functions rotated around the x-axis.
Down
  1. 1. The process of finding maximum and minimum values given constraints using calculus.
  2. 2. The steepness of a line, found by dividing the change in y over the change in x.
  3. 3. An __________ integral is the area under a curve with no defined limits.
  4. 5. Type of differentiation used when solving for Y is nearly impossible.
  5. 7. The absolute value of velocity.
  6. 9. This abbreviated principle gives us a way to evaluate definite integrals and establishes the relationship between differentiation and integration.
  7. 10. The ________ rule differentiates f(x)/g(x) to (f’(x)*g(x) - f(x)*g’(x))/g(x)^2
  8. 13. An _______ asymptote occurs when the numerator’s degree is exactly one greater than the numerator’s.
  9. 14. Type of line that touches a curve at two points.
  10. 15. To undo the function “ln(x),” we must use ______________ to raise “e” to the power of ln(x), which equals x.
  11. 17. A ________ asymptote occurs when the limit of the function does not exist and the function is undefined.
  12. 18. Type of discontinuity where a limit doesn’t equal the exact value.
  13. 20. Any point at which the value of a function is a maximum or a minimum.
  14. 21. The ______ theorem is a limit method where we pinch a function between two easier ones to evaluate an indeterminate limit.
  15. 24. A point in a function where it is not continuous.
  16. 25. The _____ rule differentiates f(g(x)) to f’(g(x)) * g’(x)
  17. 26. This abbreviated principle states that a continuous function in the interval [a, b], will take on any given value between f(a) and f(b)
  18. 27. _________’s rule can be used when a limit is indeterminate.
  19. 29. A __________ asymptote occurs when the numerator’s degree is less than the denominator’s.
  20. 30. An abrupt change in the slope of a function.
  21. 32. The derivative of velocity.
  22. 35. The _______ rule differentiates f(x)*g(x) to f’(x)*g(x) + f(x)*g’(x)
  23. 38. An “antiderivative;” a mathematical object that can be interpreted as a generalization of area.
  24. 39. This abbreviated principle states that a continuous function f(x) in the interval [a,b] that is differentiable on the interval (a,b), has a point c in the interval (a,b) that exists such that f'(c) is equal to the function's average rate of change over [a,b].
  25. 41. A ________ maximum/minimum is the largest/smallest value in an interval of a set.