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






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






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






4. The process by which an antiderivative is calculated






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






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






7. The process of finding the derivative of a function






8. 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






9. The inverse of the tangent function






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






11. The absolute value or magnitude of velocity






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






13. The reciprocal of the cosine function






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. A method of obtaining the derivative of a composite function






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






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






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






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






20. 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.






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






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






23. The reciprocal of the tangent function






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






25. Notation used for the first derivative of a function






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






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






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






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






30. Local maximums of minimums of a function






31. A function such that the following is true






32. 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






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






34. 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






35. A line through two points on the curve






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






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






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






39. 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






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






41. A=x=b






42. The inverse of the cosine function






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






44. 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






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






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






47. The function that is integrated in an integral






48. The process of evaluating an indefinite integral






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






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