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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 defined by applying different formulas to different parts of its domain






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






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






4. The inverse of the sine function






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






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






7. 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






8. Notation used for the first derivative of a function






9. The derivative of the first derivative






10. 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






11. Slope between two points on a function






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






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






14. The function that is integrated in an integral






15. 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






16. The reciprocal of the sine function






17. The horizontal axis of the Cartesian coordinate system






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






19. The reciprocal of the cosine function






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






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






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






23. A line around which some body or curve rotates






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






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






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






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 midpoint of the sub-interval






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






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






30. 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.






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






32. 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)






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






34. f(-x)= -f(x)






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






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






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






38. The process of evaluating an indefinite integral






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






40. The process of finding the derivative of a function






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






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






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






44. The vertical axis of the Cartesian coordinate system






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






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






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






48. The inverse of the tangent function






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






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