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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 local and global maximums and minumums of a function






2. The derivative of the first derivative






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






4. Slope between two points on a function






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






6. 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)






7. A number which serves as an estimate of a desired number






8. A=x=b






9. The reciprocal of the sine function






10. A line through two points on the curve






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






12. f(-x)= -f(x)






13. The process of finding the derivative of a function






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






15. 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






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






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






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






19. 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






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 segment from the center of the circle to a point on the circle






22. 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






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






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






25. The inverse of the cosine function






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






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






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






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






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






31. The absolute value or magnitude of velocity






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






33. Notation used for the first derivative of a function






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






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






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






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






38. The process of evaluating an indefinite integral






39. The process by which an antiderivative is calculated






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






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






42. 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






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






44. 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






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






46. The horizontal axis of the Cartesian coordinate system






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






48. The vertical axis of the Cartesian coordinate system






49. The inverse of the tangent function






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