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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 reciprocal of the sine function






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






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






4. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly






5. 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)






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






7. Dividing an interval into n sub-intervals






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






9. 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)






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






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






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






13. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.






14. If f is continuous at x = a and lim f'(x) (from the left) = lim f'(x) (from the right) - then f is differentiable at x = a






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






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






17. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives






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






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






20. d = v[( x2 - x1)² + (y2 - y1)²]






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






22. 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






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






24. The smallest y-value of the function






25. The value that a function is approaching as x approaches a given value through values less than x






26. A logarithm with the base e - written as ln






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






28. Intervals in which the second derivative is positive






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






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






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






32. A function f that gives the position f(t) of a body on a coordinate axis at time t






33. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.






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






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






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






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






38. Intervals on which the second derivative is negative






39. 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)






40. 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






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






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. A function whose dependent variable satisfies a polynomial relationship with one or more independent variables






44. The inverse of an eponential function






45. Let f(x) be a function continuous on the closed interval [a -b]. If N is any real number between f(a) and f(b) - then there is at least one real number c between a and b such that f(c)=N






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






47. dy/dx






48. 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






49. A²=(b²+c²)-2(ab)Cos(A)






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