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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. Notation used for the first derivative of a function






2. The absolute value or magnitude of velocity






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






4. The horizontal axis of the Cartesian coordinate system






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






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






7. A line around which a geometric figure is symmetrical






8. The inverse of the cosine function






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






10. A=x=b






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






12. 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






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






14. 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






15. 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.






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






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






18. The reciprocal of the cosine function






19. 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






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






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






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






23. A line around which some body or curve rotates






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






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






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






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






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






29. 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






30. The derivative of the first derivative






31. 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






32. f(-x)= -f(x)






33. 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






34. 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






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






36. 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






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






38. The inverse of the sine function






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






40. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point






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






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






43. The function that is integrated in an integral






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






45. 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






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






47. 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






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






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






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