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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. An arbitrary constant term in the expression of the indefinite integral of a function
velocity
constant of integration
continuity at a point
dy/dx (Leibniz notation)
2. The limit of f as x approaches c from the right
normal line
velocity
cross-sectional area
right-hand limit
3. A line perpendicular to a tangent line at the point of tangency
continuity at a point
critical value
constant function
normal line
4. 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
coefficient
sine function
trapezoidal rule
5. The point (0 -0) in the Cartesian coordinate plane
critical value
arcsine function
origin
speed
6. The process by which an antiderivative is calculated
relative minimum
limit
integration
indefinite integral
7. The process of evaluating an indefinite integral
amplitude
antidifferentiation
axis of rotation
zero of a function
8. A function such that the following is true
integration
prime notation
second derivative test
continuous function
9. The set of all values that can be assumed by the independent variable of a function
critical point
arctangent function
domain
separable differential equation
10. A line around which some body or curve rotates
chain rule
y-axis
axis of rotation
maximum
11. The amount of change divided by the time it takes
acceleration
cosecant function
rate of change
tangent line
12. 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
approximation
domain
critical value
13. The solid figure generated by revolving a plane region around a line
solid of revolution
local linearization
differentiability
left-hand sum
14. 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)
continuity at a point
chain rule
implicit differentiation
tangent line
15. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
limit
cotangent function
cosecant function
cosine function
16. A number which serves as an estimate of a desired number
approximation
tangent line
arcsine function
x-axis
17. A function that can be expressed in the form f(x)=mx+b
absolute maximum
implicit differentiation
natural logarithm
linear function
18. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
right-hand limit
indefinite integral
linear function
continuity on an interval
19. Having a decreasing derivative as the independent variable increases; having a negative second derivative
indefinite integral
region (in a plane)
origin
concave down
20. The number which - when raised to the power of a given logarithm - produces a given number
base (exponential and logarithmic)
approximation
radius of a circle
average rate of change
21. Either of the endpoints of an interval over which a definite integral is to be evaluated
y-intercept
limit
arctangent function
limit of integration
22. 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
cotangent function
instantaneous rate of change
solid of revolution
antidifferentiation
23. In integrating composite function - either using pattern recognition or change of variables to perform the integration
zero of a function
integration by substitution
constant function
concave down
24. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
axis of symmetry
decreasing on an interval
piecewise-defined function
product rule
25. The inverse of the sine function
chain rule
indefinite integral
right-hand sum
arcsine function
26. The x-coordinate of the point where a curve intersects the x-axis
amplitude
maximum
integrand
x-intercept
27. Having an increasing derivative as the independent variable increases - having a positive second derivative
region (in a plane)
concave up
odd function
velocity
28. The absolute value or magnitude of velocity
x-axis
amplitude
solid of revolution
speed
29. Any function closely related to the exponential function - and in particular y=a^x - for any a
antidifferentiation
exponential function
position function
tangent line
30. If a function has a well-defined derivative for each element of the domain
continuous function
first derivative test
differentiability
y-axis
31. A function has a relative minimum if the derivative changes signs from negative to zero to positive
relative minimum
amplitude
decreasing on an interval
absolute minimum
32. The function y=lnx is the inverse of the exponential function y=e^x
x-intercept
axis of symmetry
right-hand sum
natural logarithm
33. The function that is integrated in an integral
relative maximum
integrand
origin
tangent line
34. The process of finding the derivative of a function
chain rule
limit of integration
differentiation
cross-sectional area
35. 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
separable differential equation
relative maximum
arcsine function
differentiation
36. An indefinite integral. an arbitrary constant '+c' is included
instantaneous velocity
antiderivative
concave up
implicit differentiation
37. The reciprocal of the sine function
cosecant function
velocity
closed interval [a -b]
critical value
38. The reciprocal of the cosine function
integration by substitution
cosine function
secant function
middle sum
39. A=x=b
arcsine function
first derivative test
closed interval [a -b]
constant of integration
40. The set of points in a plane that are equidistant from a given point
constant function
circle
optimization
velocity
41. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
integration
increasing on an interval
y-axis
cross-sectional area
42. The vertical axis of the Cartesian coordinate system
amplitude
slope
axis of rotation
y-axis
43. The rate of change of the velocity with respect to time. the second derivative of a position function
instantaneous rate of change
implicit differentiation
acceleration
prime notation
44. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute minimum
concave up
piecewise-defined function
position function
45. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
limit of integration
differentiation
approximation
linear approximation
46. A line around which a geometric figure is symmetrical
axis of symmetry
differentiation
indefinite integral
inflection point
47. 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
indefinite integral
extrenum
first derivative test
cosine function
48. 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
critical value
discontinuity
slope
odd function
49. A function f that gives the position f(t) of a body on a coordinate axis at time t
position function
left-hand sum
chain rule
amplitude
50. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
relative maximum
acceleration
velocity
zero of a function