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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 h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)






2. The reciprocal of the cosine function






3. A line through two points on the curve






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






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






6. The process of evaluating an indefinite integral






7. A line around which some body or curve rotates






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






9. The derivative of the first derivative






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






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






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






13. 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






14. 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






15. The inverse of the tangent function






16. Having an increasing derivative as the independent variable increases - having a positive second derivative






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






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






19. 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






20. Notation used for the first derivative of a function






21. The point (0 -0) in the Cartesian coordinate plane






22. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point






23. The vertical axis of the Cartesian coordinate system






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






25. Any x values where f'(x)=0 or is undefined






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






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






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






29. 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






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






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






32. For all x in [a -b] - f'(x)>0






33. A function that is defined by applying different formulas to different parts of its domain






34. 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.






35. 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.






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






37. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function






38. 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






39. 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






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






41. 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






42. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative






43. The reciprocal of the sine function






44. 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






45. The ratio x/r with r being the distance of (x -y) from the origin






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






47. The process by which an antiderivative is calculated






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






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






50. The horizontal axis of the Cartesian coordinate system