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






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






3. The inverse of the cosine function






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






5. Local maximums of minimums of a function






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






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






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






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






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






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






12. The reciprocal of the cosine function






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






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






15. A line through two points on the curve






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






17. Slope between two points on a function






18. The inverse of the tangent function






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






20. A line around which some body or curve rotates






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






22. 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






23. 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.






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






25. The inverse of the sine function






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






27. A function such that the following is true






28. Notation used for the first derivative of a function






29. The process of evaluating an indefinite integral






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






31. The derivative of the first derivative






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






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






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






35. The reciprocal of the sine function






36. 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






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






38. 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)






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






40. 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






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






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






43. A=x=b






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






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






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






47. The absolute value or magnitude of velocity






48. 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






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






50. 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