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. 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






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






3. 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.






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






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






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






7. The inverse of the tangent function






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






9. 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






10. The reciprocal of the tangent function






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






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






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






14. 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






15. 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






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






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






18. The steepness of a line; the ratio of the rise of a line divided by the run of a line between any two points; the tangent of the angle between the direction of a line and the x-axis






19. Local maximums of minimums of a function






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






21. The reciprocal of the sine function






22. 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)






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






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






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






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






27. The process of evaluating an indefinite integral






28. A=x=b






29. A line through two points on the curve






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






31. The inverse of the cosine function






32. Notation used for the first derivative of a function






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






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






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






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






37. 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






38. 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






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






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






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






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






43. The inverse of the sine function






44. The horizontal axis of the Cartesian coordinate system






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






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






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






48. A line around which a geometric figure is symmetrical






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






50. The reciprocal of the cosine function