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






2. 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






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






4. The reciprocal of the tangent function






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






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






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






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






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






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






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






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






13. The derivative of the first derivative






14. 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






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






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






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






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






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






20. The inverse of the cosine function






21. Notation used for the first derivative of a function






22. 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.






23. Local maximums of minimums of a function






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






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






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






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






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






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






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






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






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






33. 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






34. The process of evaluating an indefinite integral






35. The reciprocal of the cosine function






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






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






38. The inverse of the tangent function






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






40. The process of finding the derivative of a function






41. 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






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






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






44. A=x=b






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






46. 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)






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






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






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






50. 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