Test your basic knowledge |

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






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






3. The inverse of the cosine function






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






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






6. 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






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






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






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






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






11. A function such that the following is true






12. A line through two points on the curve






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






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






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






16. The process of finding the derivative of a function






17. A line around which some body or curve rotates






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






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






20. 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.






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






22. The reciprocal of the cosine function






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






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






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






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






27. The reciprocal of the tangent function






28. 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.






29. The reciprocal of the sine function






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






31. The horizontal axis of the Cartesian coordinate system






32. 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






33. A=x=b






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






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






36. The process by which an antiderivative is calculated






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






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






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






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






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






42. 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






43. 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






44. The inverse of the tangent function






45. The vertical axis of the Cartesian coordinate system






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






47. The inverse of the sine function






48. Local maximums of minimums of a function






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






50. 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