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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 derivative of the first derivative






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






3. The horizontal axis of the Cartesian coordinate system






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






5. 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






6. 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






7. A function such that the following is true






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






9. The function that is integrated in an integral






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






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






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






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






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






15. The process by which an antiderivative is calculated






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






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






18. Notation used for the first derivative of a function






19. 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






20. The inverse of the tangent function






21. The inverse of the cosine function






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






23. 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






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






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






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






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






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






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






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






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






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






33. 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






34. A multiplicative factor in some term of an expression (or of a series); it is usually a number - but in any case does not involve any variables of the expression






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






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






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






38. The inverse of the sine function






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






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






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 right-most point of the sub-interval






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






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






44. 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






45. A line through two points on the curve






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






47. 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






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






49. A=x=b






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