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






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






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






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






5. The reciprocal of the tangent function






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






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






8. The inverse of the cosine function






9. 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






10. A method of approximating to an integral as the limit of a sum of areas of a trapezoids. can be done by averaging a left hand sum and a right hand sum.






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






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






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






14. f(-x)= -f(x)






15. The function that is integrated in an integral






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






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






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






19. Slope between two points on a function






20. 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






21. A line around which some body or curve rotates






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






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






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






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






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






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






28. 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






29. Local maximums of minimums of a function






30. A function such that the following is true






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






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






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






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






35. 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.






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






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






38. A=x=b






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






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






41. The limit of f as x approaches c from the right






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






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






44. 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






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






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






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






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






49. 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






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