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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 local and global maximums and minimums of a function






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






3. Curve whose points are at a fixed normal distance of a given curve






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






5. Functions of angles






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






7. If f is continuous on [a -b] then at some point - c in [a -b] - f(c)= (1/(a-b))*?f(x)dx (with bounds a -b)






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






9. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)






10. A straight line that is the limiting value of a curve






11. If f(x) is differentiable over (a -b) and continuous on [a -b] and f(a) = f(b) - then there exists c on (a -b) such that f'(c) = 0.


12. T = ?X / 2 (yo + 2y1 + 2y2 ... + 2y + y) - A method of approximating to an intergral as the limit of a sum of areas of trapezoids. Can be done by averaging a left hand sum and a right hand sum






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






14. A function F is called an __________ of a function f on a given open interval if F'(x) = f(x) for all x in the interval - Add + c at the end






15. Dividing an interval into n sub-intervals






16. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)






17. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point - L(x) = f(a) + f'(a)(x - a)






18. 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






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






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






21. The mathematical process of obtaining the derivative of a function






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






23. A²=(b²+c²)-2(ab)Cos(A)






24. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum






25. N(1-r)^x






26. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve






27. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0






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






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






30. The process of evaluating an indefinite integral






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






32. An approximation of the derivative of a function using a numerical algorithm numerical integration - an approximation of the integral of a function using a numerical algorithm oddfunction- f(-x)=-f(x)






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






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






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






36. 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






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






38. ex) dx - dy etc






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






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






41. If there is some number B that is greater than or equal to every number in the range of f






42. 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






43. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x






44. The reciprocal of the sine function






45. A function that is not algebraic; examples are: trigonometric - inverse trigonometric - exponential and logarithmic funtctions






46. The rate at which velocity changes over time; an object accelerates if its speed - direction - or both change






47. dy/dx






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






49. The distance a number is from 0 on a number line






50. The value of the function at a critical point