## Test your basic knowledge |

# AP Calculus Vocab

**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. 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**

**2. The process of finding the derivative of a function**

**3. The reciprocal of the cosine function**

**4. 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**

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

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

**7. The horizontal axis of the Cartesian coordinate system**

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

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

**10. 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**

**11. 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**

**12. The derivative of the first derivative**

**13. A line around which a geometric figure is symmetrical**

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

**15. The reciprocal of the sine function**

**16. The inverse of the cosine function**

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

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

**19. A line around which some body or curve rotates**

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

**21. The smallest value of a function for each value of the domain**

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

**23. f(-x)= -f(x)**

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

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

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

**27. 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**

**28. The inverse of the tangent function**

**29. A line through two points on the curve**

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

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

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

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

**34. 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.**

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

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

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

**38. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points**

**39. The highest value of a function for each value of the domain**

**40. Notation used for the first derivative of a function**

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

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

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

**44. The vertical axis of the Cartesian coordinate system**

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

**46. A number which serves as an estimate of a desired number**

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

**48. A function such that the following is true**

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

**50. The set of points in a plane that are equidistant from a given point**