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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 process of finding the derivative of a function






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






3. The reciprocal of the cosine function






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






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






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






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






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






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






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






11. 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)






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






13. 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.






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






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






16. 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






17. 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






18. A line around which a geometric figure is symmetrical






19. The process of evaluating an indefinite integral






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






21. The reciprocal of the sine function






22. A line through two points on the curve






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






24. 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






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






26. The derivative of the first derivative






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






28. The process by which an antiderivative is calculated






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






30. 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






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. The vertical axis of the Cartesian coordinate system






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






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






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






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






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






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






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






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






41. f(-x)= -f(x)






42. A function such that the following is true






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






44. 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






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






46. The inverse of the sine function






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






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






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






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