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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 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






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






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






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






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






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






7. 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






8. 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.






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






10. 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






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






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






13. 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






14. 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.






15. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation






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






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






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






19. The process of finding the derivative of a function






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






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






22. The horizontal axis of the Cartesian coordinate system






23. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates






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






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






26. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point






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






28. 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






29. The process by which an antiderivative is calculated






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






31. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative






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






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






34. The vertical axis of the Cartesian coordinate system






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






36. The inverse of the sine function






37. Notation used for the first derivative of a function






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






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






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






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






42. A=x=b






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






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






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






46. A function such that the following is true






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






48. The absolute value or magnitude of velocity






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






50. The function that is integrated in an integral







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