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AP Calculus Vocab

Subjects : math, ap, calculus
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This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minumum of the function. if the first derivative changes from positive to zero to negative - then that critical val

2. The point (0 -0) in the Cartesian coordinate plane

3. The inverse of the cosine function

4. The solid figure generated by revolving a plane region around a line

5. A number which serves as an estimate of a desired number

6. The set of all values that can be assumed by the independent variable of a function

7. The rate of change of a function occurring at or associated with a given instant - or as a limit as a time interval approaches zero; the derivative

8. Notation used for the first derivative of a function

9. The inverse of the sine function

10. Having an increasing derivative as the independent variable increases - having a positive second derivative

11. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates

12. The limit of f as x approaches c from the right

13. A function such that the following is true

14. The vertical axis of the Cartesian coordinate system

15. The amount of change divided by the time it takes

16. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x

17. The highest value of a function for each value of the domain

18. A method of approximating to an integral as the limit of a sum of areas of a trapezoids. can be done by averaging a left hand sum and a right hand sum.

19. If a function has a well-defined derivative for each element of the domain

20. Any function closely related to the exponential function - and in particular y=a^x - for any a

21. Slope between two points on a function

22. An indefinite integral. an arbitrary constant '+c' is included

23. The reciprocal of the tangent function

24. A point where a function changes concavity; also - where the second derivative changes signs

25. The steepness of a line; the ratio of the rise of a line divided by the run of a line between any two points; the tangent of the angle between the direction of a line and the x-axis

26. The process of finding the derivative of a function

27. A=x=b

28. A segment from the center of the circle to a point on the circle

29. The process by which an antiderivative is calculated

30. The rate of change of the velocity with respect to time. the second derivative of a position function

31. A line around which some body or curve rotates

32. The inverse of the tangent function

33. An arbitrary constant term in the expression of the indefinite integral of a function

34. A function that is continuous at every point on the interval

35. The horizontal axis of the Cartesian coordinate system

36. The y-coordinate of a point where a curve intersects the y-axis

37. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point

38. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure

39. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse

40. For all x in [a -b] - f'(x)<0

41. The x-coordinate of the point where a curve intersects the x-axis

42. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side

43. Any ordered pair (x -y) where f'(x)=0 or is undefined

44. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree

45. Local maximums of minimums of a function

46. A rectangular sum of the area under a curve where the domain is divided into sub-intervals and the height of each rectangle is the function value at the midpoint of the sub-interval

47. A method of obtaining the derivative of a composite function

48. For all x in [a -b] - f'(x)>0

49. The reciprocal of the cosine function

50. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation