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

**2. 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**

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

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

**5. 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.**

**6. 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)**

**7. The derivative of the first derivative**

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

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

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

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

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

**13. 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**

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

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

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

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

**18. The smallest value of a function for each value of the domain**

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

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

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

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

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

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

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

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

**27. 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**

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

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

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

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

**32. 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.**

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

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

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

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

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

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

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

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

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

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

**43. 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**

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

**45. 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**

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

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

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

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

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