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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 function that is continuous on both the left and right side at that point






2. If f'(c)=0 and f''(c)>0 - then f has a local maximum at x=c. if f'(c)=0 and f''(c)<0 - then f has a local minimum at x=c.






3. A function such that the following is true






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






5. A=x=b






6. The inverse of the cosine function






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






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






9. 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






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






11. In an application - maximizing or minimizing some aspect of the system being modeled






12. A line through two points on the curve






13. Slope between two points on a function






14. The function that is integrated in an integral






15. The function y=lnx is the inverse of the exponential function y=e^x






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






17. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point






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






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






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






21. A line around which a geometric figure is symmetrical






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






23. The horizontal axis of the Cartesian coordinate system






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






25. The process by which an antiderivative is calculated






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






27. The process of evaluating an indefinite integral






28. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function






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






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






31. The rate of change of position with respect to time






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






33. The reciprocal of the sine function






34. Local maximums of minimums of a function






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






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






37. The absolute value or magnitude of velocity






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






39. A function that is a fixed numerical value for all elements of the domain of the function






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






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






42. The inverse of the sine function






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






44. To the graph of a function y=f(x) at a point x=a where exists the line through (a -f(a)) with slope f'(a)






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






46. 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






47. A differential equation y'=f(x -y) in which f can be expressed as a product of a function of x and a function of y






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






49. 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






50. Notation used for the first derivative of a function