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






2. The limit of f as x approaches c from the right






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






4. f(-x)= -f(x)






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






6. The inverse of the cosine function






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






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






9. A line around which some body or curve rotates






10. A line through two points on the curve






11. 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






12. The process of evaluating an indefinite integral






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






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






15. The inverse of the sine function






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






17. The reciprocal of the sine function






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






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






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






21. 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.






22. The reciprocal of the cosine function






23. The process by which an antiderivative is calculated






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






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






26. 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






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. 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






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






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






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






32. The absolute value or magnitude of velocity






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






34. 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






35. 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






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






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






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






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






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






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






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






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






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






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






46. The solid figure generated by revolving a plane region around a line






47. In an application - maximizing or minimizing some aspect of the system being modeled






48. The horizontal axis of the Cartesian coordinate system






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






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