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. The reciprocal of the tangent function






2. 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






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






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






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






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






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






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






9. 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.






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






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






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






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






14. 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






15. The inverse of the cosine function






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






17. 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.






18. 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






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






20. The vertical axis of the Cartesian coordinate system






21. The horizontal axis of the Cartesian coordinate system






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






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






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






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






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






27. The process of evaluating an indefinite integral






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






29. Notation used for the first derivative of a function






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






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






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






33. The reciprocal of the sine function






34. The process of finding the derivative of a function






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






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






37. 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






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






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






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






42. f(-x)= -f(x)






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






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 left-most point of the sub-interval






45. The absolute value or magnitude of velocity






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






47. Slope between two points on a function






48. The function that is integrated in an integral






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






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