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






2. 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






3. 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






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






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






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






7. 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






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






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






10. 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)






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






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






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






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






15. A line around which some body or curve rotates






16. 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.






17. The reciprocal of the tangent function






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






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






20. A function such that the following is true






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






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






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






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






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






26. 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 midpoint of the sub-interval






27. 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






28. The reciprocal of the cosine function






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






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






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






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






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






34. Local maximums of minimums of a function






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






36. The derivative of the first derivative






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






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






39. f(-x)= -f(x)






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






41. The inverse of the tangent function






42. The local and global maximums and minumums of a function






43. The x-coordinate of the point where a curve intersects the x-axis






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






45. The function that is integrated in an integral






46. 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






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






48. A line around which a geometric figure is symmetrical






49. Slope between two points on a function






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