## 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. The reciprocal of the tangent function**

**2. A method of obtaining the derivative of a composite function**

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

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

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

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

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

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

**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. The process by which an antiderivative is calculated**

**11. 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**

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

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

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

**15. A function that is defined by applying different formulas to different parts of its domain**

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

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

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

**20. 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**

**21. The derivative of the first derivative**

**22. 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**

**23. A=x=b**

**24. 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.**

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

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

**27. 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)**

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

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

**30. 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**

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

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

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

**34. The amount of change divided by the time it takes**

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

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

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

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

**39. 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**

**40. The rate of change of position with respect to time**

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

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

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

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

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

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

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

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

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

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