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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 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






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






3. A function such that the following is true






4. The process of finding the derivative of a function






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






6. The process of evaluating an indefinite integral






7. 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






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






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






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






11. The inverse of the tangent function






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






13. A line around which a geometric figure is symmetrical






14. The reciprocal of the tangent function






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






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






17. 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.






18. 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






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






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






21. 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






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






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






24. 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






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






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






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






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. A line through two points on the curve






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






31. Local maximums of minimums of a function






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






33. The process by which an antiderivative is calculated






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






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






36. The reciprocal of the cosine function






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






38. 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.






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






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






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






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






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






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






45. 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






46. 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






47. The inverse of the sine function






48. f(-x)= -f(x)






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






50. The derivative of the first derivative