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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. The reciprocal of the cosine function






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






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






4. The process by which an antiderivative is calculated






5. The horizontal axis of the Cartesian coordinate system






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






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






8. The reciprocal of the sine function






9. 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






10. Local maximums of minimums of a function






11. f(-x)= -f(x)






12. 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






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






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






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






16. Notation used for the first derivative of a function






17. 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






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






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






20. 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






21. 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






22. A function that possesses a finite integral; the function must be continuous on the interval of integration






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






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






25. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative






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






27. The process of finding the derivative of a function






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






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






30. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)






31. A=x=b






32. The reciprocal of the tangent function






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






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






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






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






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






38. A function that is defined by applying different formulas to different parts of its domain






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






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






41. 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






42. 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.






43. A point of value of the independent variable at which the value of a fuunction is not equal to its limit as the value of the independent variable approaches that point - or where it is not defined






44. A function such that the following is true






45. A line around which a geometric figure is symmetrical






46. The process of evaluating an indefinite integral






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






48. The inverse of the sine function






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






50. 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