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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. The vertical axis of the Cartesian coordinate system






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






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






4. 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)






5. 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






6. 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.






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






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






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






10. 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






11. 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






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






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






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






15. The reciprocal of the tangent function






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






17. 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






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






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






20. The process of evaluating an indefinite integral






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






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






23. The process by which an antiderivative is calculated






24. Slope between two points on a function






25. 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.






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






27. The process of finding the derivative of a function






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






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






30. A line through two points on the curve






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






32. 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






33. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minumum of the function. if the first derivative changes from positive to zero to negative - then that critical val






34. 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






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






36. Notation used for the first derivative of a function






37. The inverse of the cosine function






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






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






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






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






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






43. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree






44. Local maximums of minimums of a function






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






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






47. The reciprocal of the cosine function






48. The reciprocal of the sine function






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






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