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 sine function






2. 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.






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 right-most point of the sub-interval






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






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






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






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






8. A line around which a geometric figure is symmetrical






9. 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)






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






11. A=x=b






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






13. A line through two points on the curve






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






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






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






17. 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






18. The inverse of the sine function






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






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






21. Slope between two points on a function






22. 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






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






24. 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






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






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






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






28. The process of evaluating an indefinite integral






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. Notation used for the first derivative of a function






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






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






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






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






35. 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.






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






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






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






39. A number which serves as an estimate of a desired number






40. The horizontal axis of the Cartesian coordinate system






41. In integrating composite function - either using pattern recognition or change of variables to perform the integration






42. The inverse of the tangent function






43. 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






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






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






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






47. The absolute value or magnitude of velocity






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






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






50. 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