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






2. 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)






3. A method of obtaining the derivative of a composite function






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






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






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






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






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






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






10. 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






11. 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






12. f(-x)= -f(x)






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






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






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. In periodic functions - the height of the function at the maximum to the middle line






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






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






19. A line perpendicular to a tangent line at the point of tangency






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






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






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






23. The horizontal axis of the Cartesian coordinate system






24. The reciprocal of the cosine function






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






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






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






28. The inverse of the cosine function






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






30. A line around which some body or curve rotates






31. 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






32. The inverse of the sine function






33. Notation used for the first derivative of a function






34. A=x=b






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






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






37. Slope between two points on a function






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






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






40. 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.






41. The function that is integrated in an integral






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






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






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






45. The vertical axis of the Cartesian coordinate system






46. The reciprocal of the sine function






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






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






49. 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.






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