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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 process by which an antiderivative is calculated






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






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






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






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






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






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






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






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






10. The vertical axis of the Cartesian coordinate system






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






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






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






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






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






16. 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






17. 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






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






19. 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






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






21. 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.






22. The inverse of the sine function






23. Local maximums of minimums of a function






24. Slope between two points on a function






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






26. 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)






27. f(-x)= -f(x)






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






29. Notation used for the first derivative of a function






30. The y-coordinate of a point where a curve intersects the y-axis






31. The horizontal axis of the Cartesian coordinate system






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






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






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






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






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






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






38. 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






39. 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






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






41. The inverse of the cosine function






42. The reciprocal of the cosine function






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






44. A function such that the following is true






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






46. The reciprocal of the sine function






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 right-most point of the sub-interval






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






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






50. 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