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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. Having an increasing derivative as the independent variable increases - having a positive second derivative
base (exponential and logarithmic)
definite integral
concave up
first derivative test
2. The limit of f as x approaches c from the right
critical value
right-hand limit
closed interval [a -b]
increasing on an interval
3. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
trapezoidal rule
speed
inflection point
4. A number which serves as an estimate of a desired number
middle sum
relative maximum
base (exponential and logarithmic)
approximation
5. A segment from the center of the circle to a point on the circle
local linearization
increasing on an interval
radius of a circle
amplitude
6. The number which - when raised to the power of a given logarithm - produces a given number
base (exponential and logarithmic)
coefficient
linear approximation
differentiation
7. Any function closely related to the exponential function - and in particular y=a^x - for any a
concave up
exponential function
secant function
origin
8. A function that is continuous at every point on the interval
continuity on an interval
discontinuity
arcsine function
linear approximation
9. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
instantaneous rate of change
indefinite integral
zero of a function
x-intercept
10. A function such that the following is true
differentiation
continuous function
second derivative
odd function
11. 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
cosine function
second derivative test
instantaneous velocity
discontinuity
12. f(-x)= -f(x)
definite integral
indefinite integral
odd function
differentiation
13. The function that is integrated in an integral
antidifferentiation
integrand
continuity at a point
linear function
14. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
related rates
absolute maximum
integrand
second derivative test
15. 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
middle sum
right-hand limit
sine function
x-intercept
16. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
right-hand sum
minimum
sine function
relative maximum
17. The process of evaluating an indefinite integral
left-hand sum
antidifferentiation
maximum
implicit differentiation
18. The reciprocal of the sine function
implicit differentiation
integration by substitution
chain rule
cosecant function
19. The horizontal axis of the Cartesian coordinate system
right-hand limit
x-axis
indefinite integral
domain
20. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
continuity on an interval
prime notation
limit
indefinite integral
21. Slope between two points on a function
average rate of change
instantaneous rate of change
integration by substitution
antiderivative
22. The derivative of the first derivative
continuity on an interval
circle
prime notation
second derivative
23. 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
middle sum
cosine function
tangent function
cross-sectional area
24. A line around which a geometric figure is symmetrical
solid of revolution
axis of symmetry
instantaneous rate of change
sine function
25. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
prime notation
speed
absolute maximum
axis of symmetry
26. If a function has a well-defined derivative for each element of the domain
indefinite integral
radius of a circle
differentiability
natural logarithm
27. The absolute value or magnitude of velocity
continuous function
speed
cosecant function
approximation
28. 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
circle
coefficient
right-hand limit
differentiation
29. 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)
integrable function
tangent line
decreasing on an interval
related rates
30. Local maximums of minimums of a function
continuity on an interval
constant function
local extrema
integrable function
31. The smallest value of a function for each value of the domain
absolute maximum
minimum
root of an equation
concave up
32. The rate of change of position with respect to time
concave down
region (in a plane)
constant of integration
velocity
33. The y-coordinate of a point where a curve intersects the y-axis
y-intercept
natural logarithm
cosecant function
region (in a plane)
34. 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
solid of revolution
right-hand sum
critical point
inflection point
35. The function y=lnx is the inverse of the exponential function y=e^x
natural logarithm
antidifferentiation
relative minimum
cosecant function
36. A line around which some body or curve rotates
y-intercept
piecewise-defined function
definite integral
axis of rotation
37. The process by which an antiderivative is calculated
linear function
cosecant function
region (in a plane)
integration
38. 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
position function
separable differential equation
constant of integration
region (in a plane)
39. The solid figure generated by revolving a plane region around a line
base (exponential and logarithmic)
speed
position function
solid of revolution
40. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
x-intercept
local linearization
implicit differentiation
constant of integration
41. The highest value of a function for each value of the domain
indefinite integral
average rate of change
maximum
implicit differentiation
42. Notation used for the first derivative of a function
constant function
root of an equation
dy/dx (Leibniz notation)
approximation
43. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
trapezoidal rule
zero of a function
separable differential equation
integrable function
44. 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
arctangent function
piecewise-defined function
related rates
critical point
45. A line through two points on the curve
closed interval [a -b]
secant line
integration
absolute minimum
46. The differentiation of an implicit function with respect to the independent variable
local linearization
implicit differentiation
axis of rotation
minimum
47. For all x in [a -b] - f'(x)>0
exponential function
amplitude
increasing on an interval
continuity on an interval
48. Any ordered pair (x -y) where f'(x)=0 or is undefined
absolute minimum
cosecant function
critical point
decreasing on an interval
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
amplitude
region (in a plane)
velocity
cross-sectional area
50. The point (0 -0) in the Cartesian coordinate plane
antiderivative
natural logarithm
origin
chain rule