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






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






3. 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.






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






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






6. 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






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






8. The derivative of the first derivative






9. A=x=b






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






11. The absolute value or magnitude of velocity






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






13. 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






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






15. 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






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






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






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






19. 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






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






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






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






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






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






25. The process of finding the derivative of a function






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






27. 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






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






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






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






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






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 midpoint of the sub-interval






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






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






35. f(-x)= -f(x)






36. 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)






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






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






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






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






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






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






43. The reciprocal of the cosine function






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






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






46. A function such that the following is true






47. 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.






48. A line through two points on the curve






49. 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






50. A line around which a geometric figure is symmetrical