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