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






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






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






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






5. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x






6. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side






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






8. The process by which an antiderivative is calculated






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






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






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






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






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






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






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






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






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






18. The process of finding the derivative of a function






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






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






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






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






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






24. 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.






25. f(-x)= -f(x)






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






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






28. A function f that gives the position f(t) of a body on a coordinate axis at time t






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






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






31. 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)






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






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






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






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






36. 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.






37. Slope between two points on a function






38. The function that is integrated in an integral






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






40. 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






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






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






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






44. 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






45. A line through two points on the curve






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






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






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






49. The process of evaluating an indefinite integral






50. The inverse of the sine function