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






2. The inverse of the sine function






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






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






5. f(-x)= -f(x)






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






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






8. 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






9. The reciprocal of the tangent function






10. 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






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






12. Slope between two points on a function






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






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






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






16. A function that can be expressed in the form f(x)=mx+b






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






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






19. 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






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






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






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






23. The inverse of the cosine function






24. A line through two points on the curve






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






26. The horizontal axis of the Cartesian coordinate system






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






28. 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)






29. 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.






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






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






32. 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






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






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






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






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






37. A line around which some body or curve rotates






38. The vertical axis of the Cartesian coordinate system






39. The absolute value or magnitude of velocity






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






41. A function such that the following is true






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






43. The process of finding the derivative of a function






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






45. The inverse of the tangent function






46. 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






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






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






49. Notation used for the first derivative of a function






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