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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 plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
x-axis
antidifferentiation
slope
cross-sectional area
2. A=x=b
closed interval [a -b]
critical point
constant function
approximation
3. The rate of change of the velocity with respect to time. the second derivative of a position function
closed interval [a -b]
instantaneous rate of change
cotangent function
acceleration
4. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
antiderivative
linear approximation
secant function
first derivative test
5. If a function has a well-defined derivative for each element of the domain
differentiability
origin
extrenum
y-intercept
6. A function that is a fixed numerical value for all elements of the domain of the function
odd function
base (exponential and logarithmic)
constant function
discontinuity
7. Having an increasing derivative as the independent variable increases - having a positive second derivative
cosecant function
concave up
speed
natural logarithm
8. For all x in [a -b] - f'(x)<0
decreasing on an interval
approximation
coefficient
secant function
9. In periodic functions - the height of the function at the maximum to the middle line
tangent line
second derivative test
amplitude
local linearization
10. A number which serves as an estimate of a desired number
approximation
velocity
increasing on an interval
extrenum
11. A function such that the following is true
dy/dx (Leibniz notation)
slope
continuous function
relative minimum
12. An arbitrary constant term in the expression of the indefinite integral of a function
continuity at a point
constant of integration
average rate of change
limit of integration
13. The function that is integrated in an integral
integrand
product rule
tangent line
antiderivative
14. The rate of change of position with respect to time
odd function
tangent function
concave down
velocity
15. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
critical value
piecewise-defined function
local linearization
absolute maximum
16. The absolute value or magnitude of velocity
maximum
speed
definite integral
root of an equation
17. A line around which a geometric figure is symmetrical
axis of symmetry
integration
prime notation
x-intercept
18. 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
concave down
critical point
root of an equation
local extrema
19. The set of points in a plane that are equidistant from a given point
local linearization
circle
cosine function
constant of integration
20. The x-coordinate of the point where a curve intersects the x-axis
circle
absolute maximum
x-intercept
origin
21. The smallest value of a function for each value of the domain
relative minimum
minimum
arctangent function
x-intercept
22. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
separable differential equation
related rates
sine function
solid of revolution
23. The function y=lnx is the inverse of the exponential function y=e^x
coefficient
increasing on an interval
natural logarithm
critical point
24. The inverse of the sine function
continuous function
arcsine function
zero of a function
limit of integration
25. 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
constant function
integrable function
natural logarithm
related rates
26. An indefinite integral. an arbitrary constant '+c' is included
limit of integration
concave up
antiderivative
prime notation
27. The local and global maximums and minumums of a function
extrenum
root of an equation
cosine function
limit of integration
28. A segment from the center of the circle to a point on the circle
base (exponential and logarithmic)
second derivative
odd function
radius of a circle
29. In integrating composite function - either using pattern recognition or change of variables to perform the integration
tangent function
speed
region (in a plane)
integration by substitution
30. 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)
dy/dx (Leibniz notation)
tangent function
linear approximation
31. A function that is continuous on both the left and right side at that point
concave up
chain rule
continuity at a point
critical point
32. The ratio x/r with r being the distance of (x -y) from the origin
x-axis
cosine function
trapezoidal rule
rate of change
33. 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
cosine function
tangent function
right-hand sum
constant of integration
34. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
limit
dy/dx (Leibniz notation)
definite integral
amplitude
35. The vertical axis of the Cartesian coordinate system
y-axis
related rates
domain
dy/dx (Leibniz notation)
36. 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
axis of symmetry
separable differential equation
continuity at a point
middle sum
37. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
limit
second derivative test
cosine function
arctangent function
38. A line through two points on the curve
second derivative test
secant line
solid of revolution
cross-sectional area
39. For all x in [a -b] - f'(x)>0
increasing on an interval
axis of rotation
cosine function
approximation
40. 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
left-hand sum
limit
slope
arctangent function
41. A line around which some body or curve rotates
axis of rotation
average rate of change
discontinuity
prime notation
42. The derivative of the first derivative
indefinite integral
linear function
second derivative
secant function
43. The set of all values that can be assumed by the independent variable of a function
solid of revolution
arctangent function
domain
limit
44. The differentiation of an implicit function with respect to the independent variable
implicit differentiation
odd function
limit of integration
integrable function
45. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
decreasing on an interval
acceleration
tangent function
indefinite integral
46. The reciprocal of the cosine function
closed interval [a -b]
continuity on an interval
maximum
secant function
47. Any x values where f'(x)=0 or is undefined
critical value
region (in a plane)
left-hand sum
extrenum
48. 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
maximum
solid of revolution
49. A function that can be expressed in the form f(x)=mx+b
linear function
critical value
local extrema
second derivative test
50. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
dy/dx (Leibniz notation)
instantaneous velocity
second derivative test
right-hand limit