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






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






3. The horizontal axis of the Cartesian coordinate system






4. A line around which a geometric figure is symmetrical






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






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






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






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






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






10. The inverse of the sine function






11. 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






12. The function that is integrated in an integral






13. 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






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






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






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






17. The process of evaluating an indefinite integral






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






19. A=x=b






20. The vertical axis of the Cartesian coordinate system






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






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






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






24. The absolute value or magnitude of velocity






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






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






27. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minumum of the function. if the first derivative changes from positive to zero to negative - then that critical val






28. 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






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






30. In an application - maximizing or minimizing some aspect of the system being modeled






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






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






33. 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






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






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






36. 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.






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






38. Notation used for the first derivative of a function






39. The reciprocal of the sine function






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






41. 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






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






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






44. 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.






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






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






47. The inverse of the cosine function






48. Local maximums of minimums of a function






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






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