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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 has a relative maximum if the derivative changes signs from positive to zero to negative






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






3. 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






4. 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






5. A=x=b






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






7. The inverse of the cosine function






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






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






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






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






12. 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






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






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






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






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






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






18. Notation used for the first derivative of a function






19. 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)






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






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






22. 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






23. 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






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






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






26. Local maximums of minimums of a function






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






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






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






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






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






32. 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






33. A line around which some body or curve rotates






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






35. The inverse of the tangent function






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






37. A line around which a geometric figure is symmetrical






38. A line through two points on the curve






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






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






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






42. The process by which an antiderivative is calculated






43. The absolute value or magnitude of velocity






44. 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






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






46. Slope between two points on a function






47. f(-x)= -f(x)






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






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






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







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