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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. If a function has a well-defined derivative for each element of the domain






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






3. 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)






4. Slope between two points on a function






5. The steepness of a line; the ratio of the rise of a line divided by the run of a line between any two points; the tangent of the angle between the direction of a line and the x-axis






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






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






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






9. A segment from the center of the circle to a point on the circle






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






11. 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






12. The reciprocal of the sine function






13. A line around which a geometric figure is symmetrical






14. Local maximums of minimums of a function






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






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. A method of approximating to an integral as the limit of a sum of areas of a trapezoids. can be done by averaging a left hand sum and a right hand sum.






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






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






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






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






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






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






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






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






26. 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






27. The inverse of the cosine function






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






29. 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






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






31. f(-x)= -f(x)






32. A=x=b






33. 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






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






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






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






37. The process of finding the derivative of a function






38. The derivative of the first derivative






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






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






41. The process of evaluating an indefinite integral






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






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






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






45. Notation used for the first derivative of a function






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






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






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






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






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