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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 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.






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






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






4. The process by which an antiderivative is calculated






5. A line through two points on the curve






6. The process of evaluating an indefinite integral






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






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






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






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






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






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






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






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






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






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






20. f(-x)= -f(x)






21. The inverse of the cosine function






22. The set of points in a plane that are equidistant from a given point






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






24. The inverse of the tangent function






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






26. 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






27. 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






28. Local maximums of minimums of a function






29. The derivative of the first derivative






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






31. The process of finding the derivative of a function






32. Slope between two points on a function






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






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






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






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






37. The reciprocal of the cosine function






38. The absolute value or magnitude of velocity






39. 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






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






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






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






43. A function such that the following is true






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






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






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






47. The vertical axis of the Cartesian coordinate system






48. The inverse of the sine function






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






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