Test your basic knowledge |

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






2. 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






3. A line around which a geometric figure is symmetrical






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






5. The inverse of the sine function






6. The function that is integrated in an integral






7. The reciprocal of the cosine function






8. f(-x)= -f(x)






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






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






11. 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)






12. A function such that the following is true






13. The process of finding the derivative of a function






14. The vertical axis of the Cartesian coordinate system






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






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






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






18. An arbitrary constant term in the expression of the indefinite integral of a function






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






20. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)






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






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






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






24. 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.






25. 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






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






27. 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






28. The derivative of the first derivative






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






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






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






32. The horizontal axis of the Cartesian coordinate system






33. 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.






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






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






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






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






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






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






40. The absolute value or magnitude of velocity






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






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






43. The reciprocal of the sine function






44. Slope between two points on a function






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






46. 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 midpoint of the sub-interval






47. 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






48. 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






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






50. The inverse of the tangent function