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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 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.






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






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






4. The inverse of the sine 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. 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






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






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






10. In integrating composite function - either using pattern recognition or change of variables to perform the integration






11. The absolute value or magnitude of velocity






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






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






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






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






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






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






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






19. A line around which some body or curve rotates






20. 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)






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






22. The reciprocal of the sine function






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






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






25. The highest value of a function for each value of the domain






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






27. The process of evaluating an indefinite integral






28. The reciprocal of the tangent function






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






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






31. In periodic functions - the height of the function at the maximum to the middle line






32. A line around which a geometric figure is symmetrical






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






34. The set of points in a plane that are equidistant from a given point






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






36. The inverse of the tangent function






37. The process of finding the derivative of a function






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






39. A differential equation y'=f(x -y) in which f can be expressed as a product of a function of x and a function of y






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






41. 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.






42. Local maximums of minimums of a function






43. The function that is integrated in an integral






44. 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






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






46. The derivative of the first derivative






47. 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






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






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






50. 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