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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. A line around which some body or curve rotates






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






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






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






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






8. 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






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






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






11. The reciprocal of the tangent function






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






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






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






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






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






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






18. 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)






19. Slope between two points on a function






20. f(-x)= -f(x)






21. The differentiation of an implicit function with respect to the independent variable






22. A method of obtaining the derivative of a composite function






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






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






25. 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






26. The reciprocal of the sine function






27. The process of evaluating an indefinite integral






28. 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






29. The absolute value or magnitude of velocity






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






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






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






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






34. The inverse of the tangent function






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






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






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






38. The inverse of the cosine function






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






40. 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






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






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






43. 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.






44. 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






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






46. 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






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






48. 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






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






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