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






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






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






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






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






6. 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.






7. Slope between two points on a function






8. 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)






9. 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






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






11. The absolute value or magnitude of velocity






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






13. 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






14. The process of evaluating an indefinite integral






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






16. 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.






17. 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






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






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






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






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






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






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






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






25. Local maximums of minimums of a function






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






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






28. The inverse of the tangent function






29. The process of finding the derivative of a function






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






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






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






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






34. f(-x)= -f(x)






35. 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






36. A line around which some body or curve rotates






37. The inverse of the cosine function






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






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






40. The process by which an antiderivative is calculated






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






42. The horizontal axis of the Cartesian coordinate system






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






44. The reciprocal of the tangent function






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






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






47. The reciprocal of the cosine function






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






49. The inverse of the sine function






50. The function that is integrated in an integral