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






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






3. In integrating composite function - either using pattern recognition or change of variables to perform the integration






4. The function that is integrated in an integral






5. 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






6. The amount of change divided by the time it takes






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






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






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






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






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






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






13. 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






14. f(-x)= -f(x)






15. The process of finding the derivative of a function






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






17. The process of evaluating an indefinite integral






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






19. 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






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






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






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






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






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






25. Notation used for the first derivative of a function






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






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






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






29. A line through two points on the curve






30. The number which - when raised to the power of a given logarithm - produces a given number






31. The inverse of the cosine function






32. 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






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






34. 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






35. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation or an x-intercept of the graph






36. The vertical axis of the Cartesian coordinate system






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






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






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






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






41. Slope between two points on a function






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






43. The reciprocal of the tangent function






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






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






46. For all x in [a -b] - f'(x)>0






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






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






49. 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






50. The reciprocal of the cosine function