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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. Having a decreasing derivative as the independent variable increases; having a negative second derivative






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






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






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






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






6. 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.






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






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






9. The x-coordinate of the point where a curve intersects the x-axis






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






11. A line around which some body or curve rotates






12. The inverse of the tangent function






13. Local maximums of minimums of a function






14. 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






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






16. A line through two points on the curve






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






18. 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






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






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






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






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






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






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






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






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






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






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






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






30. A function such that the following is true






31. 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






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






33. The function that is integrated in an integral






34. The inverse of the sine function






35. The absolute value or magnitude of velocity






36. The derivative of the first derivative






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






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






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






40. The solid figure generated by revolving a plane region around a line






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






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






43. 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






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






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






46. f(-x)= -f(x)






47. 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






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






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