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AP Calculus Ab

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. The mathematical process of obtaining the derivative of a function






2. A measure of how a function changes as its input changes.






3. A point that represents the maximum value a function assumes over its domain






4. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.






5. The behavior of the graph of a function as x approaches positive infinity or negative infinity






6. The integral of a rate of change is called the total change: ?(from a to b) F'(x)dx = F(b)-F(a) -find anti-derivatives






7. A line that divides a figure in half so that each half is the mirror image of the other.






8. sinA/a=sinB/b=sinC/c






9. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary






10. If a function is on the closed interval [a - b] and F is an antiderivative (?) of f on [a -b] then ?f(x) dx from a to b is F(b) - F(a)






11. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].






12. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0






13. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minimum of the function. If the first derivative changes from positive to zero of negative - then that critical val






14. The function that is integrated in an integral






15. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)






16. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0






17. Intervals in which the second derivative is positive






18. The maximum distance that the particles of a wave's medium vibrate from their rest position






19. A limit in which f(x) increases or decreases without bound - as x approaches c






20. A function whose domain is divided into several parts and a different function rule is applied to each part






21. 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






22. The value of the function at a critical point






23. The value of the function approaches as x increases or decreases without bound






24. 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






25. The reciprocal of the sine function






26. The inverse of an eponential function






27. Two curves that have perpendicular tangents at the point of tangency






28. When an absolute maximum or minimum occurs at the endpoint of the interval for which the function is defined






29. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative






30. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.






31. The local and global maximums and minimums of a function






32. 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






33. A variable occurring in a function - but on which the value of the function does not depend






34. If there is some number b that is less than or equal to every number in the range of f






35. A function is locally linear at x = c if the graph fo the function looks more and more like the tangent to the graph as one zooms in on the point (c - f(c))






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






37. Any value in the domain where either the function is not differentiable or its derivative is 0.






38. The smallest y-value of the function






39. An undetermined constant added to every result of integration (the added +c)






40. Intervals on which the second derivative is negative






41. A surface or shape exposed by making a straight cut through something at right angles to the axis.






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






43. 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






44. (geometry)A curve generated by the intersection of a plane or circular cone






45. Imaginary line drawn perpendicular to the surface of a mirror or any surface






46. If y=f(x) is continuous at every point of the close interval [a -b] and differentiable at every point of its interior (a -b) - then there is at least one point c in (a -b) at which f'(c)= [f(b)-f(a)]/(b-a)






47. Limit of an average velocity - as the time interval gets smaller and smaller. Let s (t) be the position of an object at time t. The instantaneous velocity at t = a is defined as lim(h goes to 0) [s(a+h)-s(a)] / h






48. ex) dx - dy etc






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






50. Ratio between the length of an arc and its radius