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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 x-coordinate of the point where a curve intersects the x-axis






2. In integrating composite function - either using pattern recognition or change of variables to perform the integration






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






4. f(-x)= -f(x)






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






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






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






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






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






10. 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






11. The process by which an antiderivative is calculated






12. Notation used for the first derivative of a function






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






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






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






16. The reciprocal of the sine function






17. The function that is integrated in an integral






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






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






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






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






22. The reciprocal of the cosine function






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






24. A=x=b






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






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






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






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






29. 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






30. The inverse of the cosine function






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






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






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






34. 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.






35. 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






36. 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






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






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






39. 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






40. 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






41. 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






42. A line around which a geometric figure is symmetrical






43. The vertical axis of the Cartesian coordinate system






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






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






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






47. The horizontal axis of the Cartesian coordinate system






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






49. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration






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