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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 cosine function






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






3. The inverse of the cosine function






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






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






6. Local maximums of minimums of a function






7. 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.






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






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






10. Notation used for the first derivative of a function






11. A line around which some body or curve rotates






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






13. 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






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






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






16. The horizontal axis of the Cartesian coordinate system






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






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






19. 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






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






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






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






23. 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






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






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






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






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






28. A line through two points on the curve






29. 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






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






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






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






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






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






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






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






37. Slope between two points on a function






38. 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






39. The process by which an antiderivative is calculated






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






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






42. A=x=b






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






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






45. A line around which a geometric figure is symmetrical






46. 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)






47. The process of evaluating an indefinite integral






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






49. A function such that the following is true






50. The function that is integrated in an integral