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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 reciprocal of the sine function






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






3. 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






4. The inverse of the sine function






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






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






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






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






9. A line through two points on the curve






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






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






12. 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






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






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






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






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






17. The inverse of the cosine function






18. 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






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






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. 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)






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






23. 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






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






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






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






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






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






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






30. 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






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






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






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






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






35. 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.






36. A line around which a geometric figure is symmetrical






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






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






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






40. The derivative of the first derivative






41. 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






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






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






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






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






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






47. The vertical axis of the Cartesian coordinate system






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






49. The process by which an antiderivative is calculated






50. A function that is continuous at every point on the interval