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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 absolute value or magnitude of velocity






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






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






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






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






6. The horizontal axis of the Cartesian coordinate system






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






8. Notation used for the first derivative of a function






9. 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)






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






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






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






13. 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






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






15. 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.






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






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






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






19. The derivative of the first derivative






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






21. A line through two points on the curve






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






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






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






25. The process of finding the derivative of a function






26. 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.






27. 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






28. The process of evaluating an indefinite integral






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






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






31. The inverse of the sine function






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






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






34. 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






35. Slope between two points on a function






36. f(-x)= -f(x)






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






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






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






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






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






42. 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






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






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






45. Local maximums of minimums of a function






46. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration






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






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






49. The vertical axis of the Cartesian coordinate system






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