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






2. The vertical axis of the Cartesian coordinate system






3. 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






4. Any function closely related to the exponential function - and in particular y=a^x - for any a






5. 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






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






7. 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.






8. f(-x)= -f(x)






9. The inverse of the tangent function






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






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






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






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






14. 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






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






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






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






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






19. The inverse of the sine function






20. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation






21. The reciprocal of the cosine function






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






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






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






26. A line around which a geometric figure is symmetrical






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






28. The process of evaluating an indefinite integral






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






30. 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)






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






32. Notation used for the first derivative of a function






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






34. The reciprocal of the sine function






35. In periodic functions - the height of the function at the maximum to the middle line






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






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






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






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






40. 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






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






42. 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






43. The absolute value or magnitude of velocity






44. 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






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 left-most point of the sub-interval






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






47. A line around which some body or curve rotates






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






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






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






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