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

**2. 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**

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

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

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

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

**7. 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.**

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

**9. 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**

**10. 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)**

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

**12. 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**

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

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

**15. 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**

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

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

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

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

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

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

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

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

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

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

**26. 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**

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

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

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

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

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

**32. The derivative of the first derivative**

**33. A=x=b**

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

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

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

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

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

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

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

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

**42. The absolute value or magnitude of velocity**

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

**44. 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**

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

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

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

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

**50. 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**