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

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

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

**4. The derivative of the first derivative**

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

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

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

**8. A=x=b**

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

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

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

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

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

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

**15. 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**

**16. 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**

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

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

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

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

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

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

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

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

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

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

**27. The function that is integrated in an integral**

**28. 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.**

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

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

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

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

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

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

**35. Slope between two points on a function**

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

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

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

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

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

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

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

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

**44. 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)**

**45. 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**

**46. 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**

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

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

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

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