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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 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






2. The inverse of the cosine function






3. The process by which an antiderivative is calculated






4. Notation used for the first derivative of a function






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






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






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






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






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






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






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






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






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






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






15. A function such that the following is true






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






17. 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






18. 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






19. The inverse of the sine function






20. The derivative of the first derivative






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






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






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






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






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






26. Slope between two points on a function






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






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






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






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






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






32. 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






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






34. 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






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






36. A line through two points on the curve






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






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






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






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






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






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






43. A line around which a geometric figure is symmetrical






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






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






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






47. The reciprocal of the cosine function






48. 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






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






50. The horizontal axis of the Cartesian coordinate system