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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 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






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






3. A line through two points on the curve






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






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






6. f(-x)= -f(x)






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






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






9. 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






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






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






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






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. The set of points in a plane that are equidistant from a given point






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






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






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






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






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






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






21. The absolute value or magnitude of velocity






22. 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.






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






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






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






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






27. A line around which a geometric figure is symmetrical






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






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






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






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






32. 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)






33. 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






34. The reciprocal of the cosine function






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






36. The derivative of the first derivative






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






38. The process of finding the derivative of a function






39. A line around which some body or curve rotates






40. 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






41. Local maximums of minimums of a function






42. The reciprocal of the tangent function






43. 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






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






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






46. The reciprocal of the sine function






47. 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.






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






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






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