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

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

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

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

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

**6. 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**

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

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

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

**10. 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**

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

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

**13. The local and global maximums and minumums of a function**

**14. 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.**

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

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

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

**18. The process of evaluating an indefinite integral**

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

**20. The derivative of the first derivative**

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

**22. The reciprocal of the tangent function**

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

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

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

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

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

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

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

**30. Local maximums of minimums of a function**

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

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

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

**34. 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**

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

**36. A=x=b**

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

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

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

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

**41. The inverse of the sine function**

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

**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 right-most point of the sub-interval**

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

**45. 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**

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

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

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

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

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