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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. Notation used for the first derivative of a function
left-hand sum
domain
optimization
dy/dx (Leibniz notation)
2. 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 right-most point of the sub-interval
approximation
acceleration
right-hand sum
limit of integration
3. A line around which some body or curve rotates
secant function
axis of rotation
integrand
rate of change
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
integrable function
absolute minimum
instantaneous rate of change
acceleration
5. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute maximum
continuity at a point
x-axis
position function
6. A segment from the center of the circle to a point on the circle
limit
linear function
radius of a circle
limit of integration
7. 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
relative maximum
limit
local linearization
8. For all x in [a -b] - f'(x)<0
concave up
left-hand sum
decreasing on an interval
velocity
9. A=x=b
closed interval [a -b]
cross-sectional area
increasing on an interval
exponential function
10. Any x values where f'(x)=0 or is undefined
critical value
sine function
circle
velocity
11. The process by which an antiderivative is calculated
natural logarithm
integration
relative minimum
x-intercept
12. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
origin
absolute minimum
integrand
region (in a plane)
13. A method of obtaining the derivative of a composite function
chain rule
linear function
continuous function
cosine function
14. Any function closely related to the exponential function - and in particular y=a^x - for any a
exponential function
integration
odd function
prime notation
15. Having an increasing derivative as the independent variable increases - having a positive second derivative
concave up
antidifferentiation
odd function
closed interval [a -b]
16. The reciprocal of the tangent function
amplitude
cotangent function
closed interval [a -b]
axis of rotation
17. A function that can be expressed in the form f(x)=mx+b
solid of revolution
linear function
local extrema
y-intercept
18. A function f that gives the position f(t) of a body on a coordinate axis at time t
antidifferentiation
origin
velocity
position function
19. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
inflection point
closed interval [a -b]
y-axis
indefinite integral
20. The vertical axis of the Cartesian coordinate system
antidifferentiation
continuity on an interval
y-axis
cross-sectional area
21. The point (0 -0) in the Cartesian coordinate plane
continuity at a point
relative minimum
cross-sectional area
origin
22. In integrating composite function - either using pattern recognition or change of variables to perform the integration
integration by substitution
y-intercept
amplitude
chain rule
23. The rate of change of position with respect to time
integration
separable differential equation
velocity
relative maximum
24. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
cross-sectional area
integrable function
absolute minimum
solid of revolution
25. Local maximums of minimums of a function
local extrema
critical value
odd function
closed interval [a -b]
26. The reciprocal of the cosine function
cotangent function
acceleration
secant function
decreasing on an interval
27. The derivative of the first derivative
separable differential equation
cosecant function
piecewise-defined function
second derivative
28. A line around which a geometric figure is symmetrical
continuity on an interval
x-axis
base (exponential and logarithmic)
axis of symmetry
29. The absolute value or magnitude of velocity
concave up
critical value
antidifferentiation
speed
30. In periodic functions - the height of the function at the maximum to the middle line
arctangent function
odd function
rate of change
amplitude
31. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
second derivative
instantaneous velocity
local extrema
dy/dx (Leibniz notation)
32. 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)
product rule
implicit differentiation
arccosine function
tangent line
33. The function y=lnx is the inverse of the exponential function y=e^x
left-hand sum
integration by substitution
natural logarithm
radius of a circle
34. Having a decreasing derivative as the independent variable increases; having a negative second derivative
maximum
first derivative test
concave up
concave down
35. The limit of f as x approaches c from the right
y-axis
arctangent function
right-hand limit
coefficient
36. The number which - when raised to the power of a given logarithm - produces a given number
differentiation
base (exponential and logarithmic)
normal line
cosecant function
37. The ratio x/r with r being the distance of (x -y) from the origin
cosine function
critical point
antidifferentiation
closed interval [a -b]
38. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
implicit differentiation
coefficient
concave up
linear approximation
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
secant line
sine function
first derivative test
second derivative test
40. The function that is integrated in an integral
middle sum
integrand
region (in a plane)
implicit differentiation
41. 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
radius of a circle
separable differential equation
tangent function
linear approximation
42. 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
local extrema
middle sum
x-axis
definite integral
43. 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 of integration
optimization
tangent line
trapezoidal rule
44. If a function has a well-defined derivative for each element of the domain
product rule
odd function
arcsine function
differentiability
45. The set of points in a plane that are equidistant from a given point
region (in a plane)
extrenum
approximation
circle
46. The inverse of the sine function
indefinite integral
arcsine function
circle
normal line
47. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
local linearization
antidifferentiation
sine function
implicit differentiation
48. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
tangent line
secant line
instantaneous velocity
sine function
49. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
tangent line
local extrema
normal line
50. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
rate of change
definite integral
secant function
separable differential equation