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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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 differentiation of an implicit function with respect to the independent variable






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






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






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






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






6. The function that is integrated in an integral






7. f(-x)= -f(x)






8. The vertical axis of the Cartesian coordinate system






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






10. Either of the endpoints of an interval over which a definite integral is to be evaluated






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






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






13. In an application - maximizing or minimizing some aspect of the system being modeled






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






15. A line around which some body or curve rotates






16. 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






17. 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






18. A line through two points on the curve






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






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






21. 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






22. The reciprocal of the tangent function






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






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






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






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






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






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






29. 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.






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






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






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






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






34. 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






35. The reciprocal of the sine function






36. A function that is continuous at every point on the interval






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






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






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






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






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






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






43. A=x=b






44. 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.






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






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






47. 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






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






50. 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