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AP Calculus Vocab

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. 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.
first derivative test
cosine function
trapezoidal rule
definite integral

2. The amount of change divided by the time it takes
maximum
rate of change
second derivative test
base (exponential and logarithmic)

3. A function that is defined by applying different formulas to different parts of its domain
closed interval [a -b]
middle sum
first derivative test
piecewise-defined function

4. The process by which an antiderivative is calculated
integrable function
exponential function
first derivative test
integration

5. A line through two points on the curve
natural logarithm
left-hand sum
root of an equation
secant line

6. The process of evaluating an indefinite integral
zero of a function
secant line
cosine function
antidifferentiation

7. The number which - when raised to the power of a given logarithm - produces a given number
trapezoidal rule
relative maximum
integration by substitution
base (exponential and logarithmic)

8. A number which serves as an estimate of a desired number
continuity at a point
limit
first derivative test
approximation

9. Any ordered pair (x -y) where f'(x)=0 or is undefined
critical point
cosecant function
concave down
axis of rotation

10. An indefinite integral. an arbitrary constant '+c' is included
approximation
increasing on an interval
antiderivative
concave up

11. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute minimum
average rate of change
tangent function
second derivative

12. The differentiation of an implicit function with respect to the independent variable
minimum
origin
exponential function
implicit differentiation

13. The y-coordinate of a point where a curve intersects the y-axis
y-axis
second derivative
cosine function
y-intercept

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.
continuity on an interval
base (exponential and logarithmic)
second derivative test
slope

15. In integrating composite function - either using pattern recognition or change of variables to perform the integration
integration by substitution
right-hand limit
integration
minimum

16. In periodic functions - the height of the function at the maximum to the middle line
continuous function
secant line
implicit differentiation
amplitude

17. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
instantaneous rate of change
instantaneous velocity
y-axis
limit of integration

18. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
integration by substitution
amplitude
sine function
secant line

19. The x-coordinate of the point where a curve intersects the x-axis
x-intercept
speed
absolute minimum
decreasing on an interval

20. f(-x)= -f(x)
odd function
integrable function
zero of a function
antiderivative

21. The inverse of the cosine function
arcsine function
cosine function
increasing on an interval
arccosine function

22. The set of points in a plane that are equidistant from a given point
circle
zero of a function
arctangent function
constant of integration

23. The rate of change of position with respect to time
secant function
cosecant function
velocity
continuity at a point

24. The inverse of the tangent function
arctangent function
related rates
first derivative test
critical value

25. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
limit
increasing on an interval
y-axis
region (in a plane)

26. 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
velocity
y-intercept
root of an equation
right-hand limit

27. 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
region (in a plane)
acceleration
coefficient
normal line

28. Local maximums of minimums of a function
circle
increasing on an interval
local extrema
zero of a function

29. The derivative of the first derivative
axis of symmetry
second derivative
differentiability
root of an equation

30. The ratio x/r with r being the distance of (x -y) from the origin
chain rule
root of an equation
linear approximation
cosine function

31. The process of finding the derivative of a function
differentiation
amplitude
piecewise-defined function
region (in a plane)

32. Slope between two points on a function
closed interval [a -b]
continuous function
average rate of change
origin

33. A function that is a fixed numerical value for all elements of the domain of the function
instantaneous rate of change
second derivative test
constant function
relative minimum

34. A segment from the center of the circle to a point on the circle
exponential function
average rate of change
right-hand sum
radius of a circle

35. The highest value of a function for each value of the domain
maximum
instantaneous velocity
relative minimum
trapezoidal rule

36. A function that can be expressed in the form f(x)=mx+b
relative minimum
linear function
arcsine function
increasing on an interval

37. The reciprocal of the cosine function
concave down
tangent function
limit
secant function

38. The absolute value or magnitude of velocity
first derivative test
natural logarithm
arctangent function
speed

39. 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
continuity at a point
exponential function
solid of revolution
left-hand sum

40. A line perpendicular to a tangent line at the point of tangency
concave up
domain
arccosine function
normal line

41. Either of the endpoints of an interval over which a definite integral is to be evaluated
linear function
zero of a function
local linearization
limit of integration

42. The smallest value of a function for each value of the domain
continuity on an interval
minimum
middle sum
circle

43. A function such that the following is true
differentiation
continuous function
closed interval [a -b]
local extrema

44. A point where a function changes concavity; also - where the second derivative changes signs
chain rule
inflection point
indefinite integral
right-hand limit

45. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
concave down
middle sum
indefinite integral
chain rule

46. The rate of change of the velocity with respect to time. the second derivative of a position function
origin
instantaneous rate of change
acceleration
prime notation

47. The vertical axis of the Cartesian coordinate system
tangent line
speed
y-axis
circle

48. The inverse of the sine function
arcsine function
decreasing on an interval
trapezoidal rule
maximum

49. The function y=lnx is the inverse of the exponential function y=e^x
natural logarithm
second derivative test
constant function
origin

50. A function has a relative minimum if the derivative changes signs from negative to zero to positive
integrable function
secant line
relative minimum
increasing on an interval