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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. If a function has a well-defined derivative for each element of the domain
differentiability
linear approximation
speed
instantaneous rate of change
2. The inverse of the cosine function
average rate of change
piecewise-defined function
arccosine function
tangent function
3. The process of finding the derivative of a function
amplitude
constant function
differentiation
speed
4. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
zero of a function
linear approximation
average rate of change
relative minimum
5. A line around which some body or curve rotates
secant function
axis of rotation
piecewise-defined function
linear approximation
6. An indefinite integral. an arbitrary constant '+c' is included
antiderivative
limit
velocity
tangent function
7. The ratio x/r with r being the distance of (x -y) from the origin
x-axis
origin
coefficient
cosine function
8. In integrating composite function - either using pattern recognition or change of variables to perform the integration
integration by substitution
limit of integration
arccosine function
separable differential equation
9. The derivative of the first derivative
second derivative
differentiability
instantaneous rate of change
rate of change
10. 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
arctangent function
left-hand sum
separable differential equation
x-intercept
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
related rates
inflection point
antiderivative
x-axis
12. 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
discontinuity
tangent function
instantaneous rate of change
piecewise-defined function
13. A function f that gives the position f(t) of a body on a coordinate axis at time t
product rule
linear function
y-axis
position function
14. A number which serves as an estimate of a desired number
optimization
arcsine function
approximation
differentiability
15. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
critical point
absolute minimum
arctangent function
local extrema
16. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
differentiability
tangent function
first derivative test
indefinite integral
17. Having an increasing derivative as the independent variable increases - having a positive second derivative
integration
concave up
second derivative
chain rule
18. Having a decreasing derivative as the independent variable increases; having a negative second derivative
cotangent function
concave down
differentiation
continuous function
19. 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.
limit
limit of integration
trapezoidal rule
left-hand sum
20. 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)
continuity on an interval
continuous function
solid of revolution
21. The process of evaluating an indefinite integral
constant function
speed
arctangent function
antidifferentiation
22. A point where a function changes concavity; also - where the second derivative changes signs
inflection point
instantaneous velocity
zero of a function
second derivative
23. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
x-intercept
axis of symmetry
critical value
instantaneous velocity
24. 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
slope
second derivative test
critical point
zero of a function
25. Either of the endpoints of an interval over which a definite integral is to be evaluated
limit of integration
arctangent function
exponential function
relative minimum
26. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
arccosine function
first derivative test
tangent line
27. The reciprocal of the tangent function
limit of integration
cotangent function
domain
maximum
28. Notation used for the first derivative of a function
root of an equation
dy/dx (Leibniz notation)
y-axis
integration
29. Any ordered pair (x -y) where f'(x)=0 or is undefined
origin
critical point
relative minimum
x-axis
30. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
dy/dx (Leibniz notation)
separable differential equation
root of an equation
local linearization
31. The point (0 -0) in the Cartesian coordinate plane
origin
maximum
tangent line
velocity
32. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
relative minimum
instantaneous velocity
limit
second derivative test
33. 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
root of an equation
second derivative
axis of symmetry
acceleration
34. A function that is continuous at every point on the interval
continuity on an interval
cosecant function
arccosine function
natural logarithm
35. The amount of change divided by the time it takes
rate of change
natural logarithm
amplitude
dy/dx (Leibniz notation)
36. An arbitrary constant term in the expression of the indefinite integral of a function
extrenum
constant of integration
prime notation
second derivative
37. A function that is a fixed numerical value for all elements of the domain of the function
circle
constant of integration
constant function
cosine function
38. The highest value of a function for each value of the domain
differentiability
maximum
region (in a plane)
cosecant function
39. 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
first derivative test
axis of symmetry
x-axis
limit
40. The y-coordinate of a point where a curve intersects the y-axis
amplitude
y-intercept
region (in a plane)
cotangent function
41. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
tangent line
tangent function
linear approximation
relative minimum
42. The differentiation of an implicit function with respect to the independent variable
axis of rotation
x-intercept
arctangent function
implicit differentiation
43. For all x in [a -b] - f'(x)<0
first derivative test
cotangent function
speed
decreasing on an interval
44. The smallest value of a function for each value of the domain
natural logarithm
secant function
minimum
cotangent function
45. The absolute value or magnitude of velocity
continuity at a point
linear function
right-hand limit
speed
46. Local maximums of minimums of a function
radius of a circle
maximum
local extrema
right-hand limit
47. A=x=b
related rates
integration
normal line
closed interval [a -b]
48. The rate of change of position with respect to time
integration
velocity
middle sum
right-hand limit
49. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
middle sum
discontinuity
cross-sectional area
linear approximation
50. 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)
tangent line
instantaneous velocity
dy/dx (Leibniz notation)
discontinuity