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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 vertical axis of the Cartesian coordinate system






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






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






4. 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






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






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






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






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






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






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






11. 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.






12. A function such that the following is true






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






14. Local maximums of minimums of a function






15. The reciprocal of the sine function






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






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






18. The process of evaluating an indefinite integral






19. f(-x)= -f(x)






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






21. A=x=b






22. The reciprocal of the cosine function






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






24. A line around which some body or curve rotates






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






26. The process of finding the derivative of a function






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






28. A line through two points on the curve






29. 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






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






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






32. 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






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






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






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






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






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






38. The inverse of the sine function






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






40. The set of points in a plane that are equidistant from a given point






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






42. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree






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






44. The function that is integrated in an integral






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






46. The horizontal axis of the Cartesian coordinate system






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






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






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






50. 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