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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. Any function closely related to the exponential function - and in particular y=a^x - for any a






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






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






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






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






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






7. The reciprocal of the sine function






8. The inverse of the sine function






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






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






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






12. The derivative of the first derivative






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






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






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






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






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






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






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






21. The function that is integrated in an integral






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






23. 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






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






25. 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)






26. 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






27. The process by which an antiderivative is calculated






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






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






30. 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






31. Notation used for the first derivative of a function






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






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






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






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






36. 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






37. The reciprocal of the tangent function






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






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






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






41. Local maximums of minimums of a function






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






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






44. A=x=b






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






46. The inverse of the cosine function






47. The absolute value or magnitude of velocity






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






49. 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






50. The reciprocal of the cosine function