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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 segment from the center of the circle to a point on the circle






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






3. The inverse of the tangent function






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






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






6. Slope between two points on a function






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






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






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






10. 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.






11. 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






12. The vertical axis of the Cartesian coordinate system






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






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






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






16. A line around which some body or curve rotates






17. The absolute value or magnitude of velocity






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






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






20. 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






21. The reciprocal of the tangent function






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






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






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






25. A line through two points on the curve






26. f(-x)= -f(x)






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






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






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






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






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






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






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






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






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






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






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






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






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






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






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






43. 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






44. The reciprocal of the cosine function






45. 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






46. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minumum of the function. if the first derivative changes from positive to zero to negative - then that critical val






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






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






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






50. Local maximums of minimums of a function







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