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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. 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






2. 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






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






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






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






6. The rate of change of position with respect to time






7. The vertical axis of the Cartesian coordinate system






8. The horizontal axis of the Cartesian coordinate system






9. The smallest value of a function for each value of the domain






10. The inverse of the sine function






11. The absolute value or magnitude of velocity






12. A line around which some body or curve rotates






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






14. A line through two points on the curve






15. 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






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






17. The process by which an antiderivative is calculated






18. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation






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






20. The local and global maximums and minumums of a function






21. The process of finding the derivative of a function






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






24. Local maximums of minimums of a function






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






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






27. A=x=b






28. Notation used for the first derivative of a function






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






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






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






32. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points






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






34. The reciprocal of the cosine function






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






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






37. The inverse of the cosine function






38. A multiplicative factor in some term of an expression (or of a series); it is usually a number - but in any case does not involve any variables of the expression






39. The process of evaluating an indefinite integral






40. For all x in [a -b] - f'(x)<0






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






42. A function such that the following is true






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






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






45. 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






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






47. The reciprocal of the sine function






48. 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)






49. 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.






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