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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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. The process by which an antiderivative is calculated






2. f(-x)= -f(x)






3. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side






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






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






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






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






8. 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






9. The derivative of the first derivative






10. 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






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






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






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






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






15. The vertical axis of the Cartesian coordinate system






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






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






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






19. Local maximums of minimums of a function






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






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






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






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






24. 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






25. A line through two points on the curve






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






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






28. A line around which a geometric figure is symmetrical






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






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






31. 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






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






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






34. The reciprocal of the sine function






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






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






37. 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






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






39. 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






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






41. The function that is integrated in an integral






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






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






44. The inverse of the cosine function






45. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)






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






47. Notation used for the first derivative of a function






48. The horizontal axis of the Cartesian coordinate system






49. A=x=b






50. The reciprocal of the tangent function







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