## 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 point (0 -0) in the Cartesian coordinate plane**

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

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

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

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

**7. 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**

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

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

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

**11. 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**

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

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

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

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

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

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

**18. 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.**

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

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

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

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

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

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

**25. 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**

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

**27. A=x=b**

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

**46. 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**

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

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

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

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