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






3. 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






4. The reciprocal of the sine function






5. The reciprocal of the cosine function






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






7. A=x=b






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






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






10. The absolute value or magnitude of velocity






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






12. The derivative of the first derivative






13. 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






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






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






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






17. 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






18. Local maximums of minimums of a function






19. 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.






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






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






22. The process of evaluating an indefinite integral






23. 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






24. 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






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






26. 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






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






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






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






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






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






32. A line around which some body or curve rotates






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






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






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






36. 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






37. The process by which an antiderivative is calculated






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






39. The horizontal axis of the Cartesian coordinate system






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






41. The vertical axis of the Cartesian coordinate system






42. The inverse of the tangent function






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






44. A line around which a geometric figure is symmetrical






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






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






47. The inverse of the sine function






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






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






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