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






2. The process by which an antiderivative is calculated






3. The point (0 -0) in the Cartesian coordinate plane






4. Notation used for the first derivative of a function






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






6. 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






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






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






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






10. 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






11. A line through two points on the curve






12. 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






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






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






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






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






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






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






19. f(-x)= -f(x)






20. 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.






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






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






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






24. The ratio x/r with r being the distance of (x -y) from the origin






25. The inverse of the cosine function






26. The process of finding the derivative of a function






27. 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






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






29. A segment from the center of the circle to a point on the circle






30. A line around which a geometric figure is symmetrical






31. The derivative of the first derivative






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






33. 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






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






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






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






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






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






39. 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






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






41. 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)






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






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






44. 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






45. 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






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






47. Slope between two points on a function






48. A function such that the following is true






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






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