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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • Match each statement with the correct term.
  • Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

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. 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






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






3. Having a decreasing derivative as the independent variable increases; having a negative second derivative






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






5. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint






6. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation or an x-intercept of the graph






7. A line perpendicular to a tangent line at the point of tangency






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






9. The inverse of the tangent function






10. The horizontal axis of the Cartesian coordinate system






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






12. A function f that gives the position f(t) of a body on a coordinate axis at time t






13. The differentiation of an implicit function with respect to the independent variable






14. 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 right-most point of the sub-interval






15. The reciprocal of the sine function






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






17. 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.






18. 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 left-most point of the sub-interval






19. The vertical axis of the Cartesian coordinate system






20. A line through two points on the curve






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






22. A line around which a geometric figure is symmetrical






23. The ratio x/r with r being the distance of (x -y) from the origin






24. Local maximums of minimums of a function






25. A function that can be expressed in the form f(x)=mx+b






26. The number which - when raised to the power of a given logarithm - produces a given number






27. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint






28. Either of the endpoints of an interval over which a definite integral is to be evaluated






29. Any x values where f'(x)=0 or is undefined






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






31. In periodic functions - the height of the function at the maximum to the middle line






32. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points






33. The smallest value of a function for each value of the domain






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






35. Notation used for the first derivative of a function






36. A function has a relative maximum if the derivative changes signs from positive to zero to negative






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






38. 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






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






40. A=x=b






41. The function that is integrated in an integral






42. The process by which an antiderivative is calculated






43. The local and global maximums and minumums of a function






44. 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






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






46. The inverse of the cosine function






47. The set of points in a plane that are equidistant from a given point






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






49. 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






50. The process of finding the derivative of a function