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






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






3. 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






4. 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.






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






6. The function that is integrated in an integral






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






8. The process of finding the derivative of a function






9. The process of evaluating an indefinite integral






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






11. 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.






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






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






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






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






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






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. The inverse of the sine function






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






20. 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






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






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






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






24. Notation used for the first derivative of a function






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






26. A=x=b






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






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






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






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






31. 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






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






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






34. Slope between two points on a function






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






36. A function that possesses a finite integral; the function must be continuous on the interval of integration






37. The absolute value or magnitude of velocity






38. A segment from the center of the circle to a point on the circle






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






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






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






42. 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






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






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. A method of obtaining the derivative of a composite function






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






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






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






49. f(-x)= -f(x)






50. The reciprocal of the sine function