Test your basic knowledge |

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






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






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






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






5. 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






6. The inverse of the sine function






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






8. 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






9. 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






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






11. Local maximums of minimums of a function






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






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






14. 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






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






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






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






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






19. A line around which a geometric figure is symmetrical






20. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side






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






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






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






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






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






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






28. The reciprocal of the tangent function






29. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates






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






31. 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






32. The derivative of the first derivative






33. Slope between two points on a function






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






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






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






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






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






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






40. 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






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






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






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






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






45. 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)






46. The reciprocal of the cosine function






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






48. 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






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






50. The function that is integrated in an integral