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






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






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






4. 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






5. A function such that the following is true






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






7. 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






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






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






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






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






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






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






14. The process by which an antiderivative is calculated






15. The process of finding the derivative of a function






16. 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






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






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






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






20. The amount of change divided by the time it takes






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






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






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






24. 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.






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






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






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






28. A line around which a geometric figure is symmetrical






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






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






31. Local maximums of minimums of a function






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






33. The reciprocal of the tangent function






34. 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)






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






36. A=x=b






37. 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.






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






39. 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






40. The absolute value or magnitude of velocity






41. Either of the endpoints of an interval over which a definite integral is to be evaluated






42. 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






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






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






45. 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






46. The inverse of the sine function






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






48. 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






49. Slope between two points on a function






50. The horizontal axis of the Cartesian coordinate system






Can you answer 50 questions in 15 minutes?



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