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Test your basic knowledge |
AP Calculus Vocab
Start Test
Study First
Subjects
:
math
,
ap
,
calculus
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 absolute value or magnitude of velocity
coefficient
separable differential equation
speed
arcsine function
2. For all x in [a -b] - f'(x)>0
increasing on an interval
solid of revolution
constant function
critical point
3. The inverse of the cosine function
critical point
arccosine function
axis of rotation
antiderivative
4. 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
instantaneous rate of change
secant function
trapezoidal rule
coefficient
5. A line through two points on the curve
dy/dx (Leibniz notation)
related rates
definite integral
secant line
6. Either of the endpoints of an interval over which a definite integral is to be evaluated
integrable function
constant function
limit of integration
continuity at a point
7. The reciprocal of the cosine function
extrenum
secant function
exponential function
local linearization
8. The limit of f as x approaches c from the right
right-hand sum
product rule
root of an equation
right-hand limit
9. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
first derivative test
speed
extrenum
cross-sectional area
10. 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
linear function
root of an equation
left-hand sum
differentiation
11. A function that is defined by applying different formulas to different parts of its domain
piecewise-defined function
continuity on an interval
related rates
prime notation
12. The process of finding the derivative of a function
instantaneous velocity
arctangent function
differentiation
right-hand limit
13. 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
continuity at a point
relative maximum
amplitude
related rates
14. Having a decreasing derivative as the independent variable increases; having a negative second derivative
extrenum
concave down
constant function
critical value
15. A=x=b
relative maximum
natural logarithm
acceleration
closed interval [a -b]
16. A function has a relative maximum if the derivative changes signs from positive to zero to negative
relative maximum
arctangent function
radius of a circle
tangent line
17. Local maximums of minimums of a function
absolute minimum
extrenum
secant function
local extrema
18. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
antidifferentiation
absolute maximum
solid of revolution
position function
19. The differentiation of an implicit function with respect to the independent variable
average rate of change
root of an equation
continuity at a point
implicit differentiation
20. A segment from the center of the circle to a point on the circle
radius of a circle
right-hand sum
slope
closed interval [a -b]
21. The rate of change of position with respect to time
local linearization
velocity
normal line
origin
22. In integrating composite function - either using pattern recognition or change of variables to perform the integration
y-intercept
integration by substitution
secant function
arctangent function
23. The inverse of the sine function
trapezoidal rule
slope
arctangent function
arcsine function
24. Any x values where f'(x)=0 or is undefined
domain
critical value
discontinuity
differentiation
25. The point (0 -0) in the Cartesian coordinate plane
origin
middle sum
region (in a plane)
axis of rotation
26. The process of evaluating an indefinite integral
maximum
antidifferentiation
local linearization
secant line
27. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
cross-sectional area
indefinite integral
linear approximation
normal line
28. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
definite integral
acceleration
cosine function
differentiability
29. 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
position function
continuous function
solid of revolution
discontinuity
30. The reciprocal of the tangent function
cotangent function
origin
inflection point
relative maximum
31. A line perpendicular to a tangent line at the point of tangency
normal line
odd function
y-intercept
second derivative
32. An arbitrary constant term in the expression of the indefinite integral of a function
closed interval [a -b]
trapezoidal rule
constant of integration
radius of a circle
33. If a function has a well-defined derivative for each element of the domain
second derivative test
second derivative
differentiability
secant line
34. The highest value of a function for each value of the domain
speed
maximum
left-hand sum
right-hand sum
35. The solid figure generated by revolving a plane region around a line
arcsine function
inflection point
secant function
solid of revolution
36. A function that is continuous at every point on the interval
continuity on an interval
first derivative test
increasing on an interval
chain rule
37. A method of obtaining the derivative of a composite function
axis of symmetry
minimum
chain rule
approximation
38. 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
tangent function
limit of integration
arcsine function
circle
39. The inverse of the tangent function
continuous function
cosecant function
implicit differentiation
arctangent function
40. Any ordered pair (x -y) where f'(x)=0 or is undefined
critical point
exponential function
amplitude
maximum
41. A line around which a geometric figure is symmetrical
definite integral
related rates
antidifferentiation
axis of symmetry
42. The local and global maximums and minumums of a function
cross-sectional area
differentiation
first derivative test
extrenum
43. A function has a relative minimum if the derivative changes signs from negative to zero to positive
second derivative
inflection point
base (exponential and logarithmic)
relative minimum
44. For all x in [a -b] - f'(x)<0
right-hand limit
antidifferentiation
decreasing on an interval
y-axis
45. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
sine function
odd function
tangent line
arcsine function
46. The horizontal axis of the Cartesian coordinate system
local extrema
x-axis
second derivative test
odd function
47. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
region (in a plane)
first derivative test
cosecant function
arccosine function
48. A function that is continuous on both the left and right side at that point
instantaneous velocity
concave up
rate of change
continuity at a point
49. A function that possesses a finite integral; the function must be continuous on the interval of integration
acceleration
instantaneous rate of change
integrable function
optimization
50. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
continuous function
limit
absolute maximum
arcsine function