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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. For all x in [a -b] - f'(x)<0
decreasing on an interval
integrable function
critical value
cosine function
2. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
limit of integration
maximum
sine function
zero of a function
3. The vertical axis of the Cartesian coordinate system
product rule
y-axis
linear function
relative minimum
4. The highest value of a function for each value of the domain
coefficient
right-hand limit
y-intercept
maximum
5. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
closed interval [a -b]
zero of a function
absolute maximum
cosecant function
6. 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
prime notation
antiderivative
right-hand sum
separable differential equation
7. The process by which an antiderivative is calculated
differentiation
integration
implicit differentiation
antiderivative
8. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
limit
axis of rotation
secant function
average rate of change
9. The reciprocal of the tangent function
constant of integration
relative maximum
differentiation
cotangent function
10. A function f that gives the position f(t) of a body on a coordinate axis at time t
differentiability
continuity at a point
cross-sectional area
position function
11. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
first derivative test
speed
absolute minimum
right-hand sum
12. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
x-intercept
axis of rotation
instantaneous velocity
prime notation
13. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
absolute maximum
prime notation
local linearization
secant line
14. The ratio x/r with r being the distance of (x -y) from the origin
antiderivative
second derivative
critical point
cosine function
15. An indefinite integral. an arbitrary constant '+c' is included
x-axis
local linearization
antiderivative
sine function
16. The local and global maximums and minumums of a function
trapezoidal rule
absolute maximum
extrenum
average rate of change
17. f(-x)= -f(x)
odd function
critical point
antiderivative
constant function
18. The process of evaluating an indefinite integral
limit of integration
antidifferentiation
domain
normal line
19. 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
related rates
solid of revolution
continuity at a point
cosecant function
20. A function has a relative minimum if the derivative changes signs from negative to zero to positive
x-axis
zero of a function
relative minimum
y-intercept
21. The amount of change divided by the time it takes
odd function
rate of change
critical value
base (exponential and logarithmic)
22. Notation used for the first derivative of a function
dy/dx (Leibniz notation)
absolute maximum
critical point
definite integral
23. A function that can be expressed in the form f(x)=mx+b
linear function
cross-sectional area
arctangent function
optimization
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
closed interval [a -b]
root of an equation
antidifferentiation
cross-sectional area
25. The limit of f as x approaches c from the right
arctangent function
right-hand limit
position function
antidifferentiation
26. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
cross-sectional area
origin
definite integral
antiderivative
27. A segment from the center of the circle to a point on the circle
radius of a circle
origin
second derivative test
first derivative test
28. 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
arctangent function
velocity
trapezoidal rule
discontinuity
29. 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
x-axis
definite integral
arcsine function
middle sum
30. 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
rate of change
y-intercept
tangent function
middle sum
31. If a function has a well-defined derivative for each element of the domain
differentiability
root of an equation
secant line
instantaneous velocity
32. An arbitrary constant term in the expression of the indefinite integral of a function
radius of a circle
decreasing on an interval
related rates
constant of integration
33. A line through two points on the curve
axis of rotation
secant line
integrable function
constant of integration
34. The inverse of the sine function
chain rule
circle
continuity at a point
arcsine function
35. For all x in [a -b] - f'(x)>0
continuity on an interval
increasing on an interval
circle
right-hand limit
36. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
product rule
concave up
dy/dx (Leibniz notation)
origin
37. The derivative of the first derivative
arccosine function
second derivative
domain
axis of symmetry
38. 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)
secant function
average rate of change
axis of rotation
39. Any x values where f'(x)=0 or is undefined
decreasing on an interval
second derivative test
critical value
constant of integration
40. The differentiation of an implicit function with respect to the independent variable
second derivative
differentiation
implicit differentiation
origin
41. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
definite integral
speed
base (exponential and logarithmic)
42. The x-coordinate of the point where a curve intersects the x-axis
arctangent function
prime notation
secant function
x-intercept
43. Slope between two points on a function
maximum
average rate of change
antidifferentiation
left-hand sum
44. A number which serves as an estimate of a desired number
arctangent function
trapezoidal rule
linear function
approximation
45. The function that is integrated in an integral
secant function
closed interval [a -b]
integrand
second derivative test
46. The number which - when raised to the power of a given logarithm - produces a given number
right-hand sum
second derivative
antiderivative
base (exponential and logarithmic)
47. The rate of change of position with respect to time
middle sum
speed
natural logarithm
velocity
48. A function such that the following is true
continuous function
average rate of change
constant of integration
x-intercept
49. The inverse of the tangent function
acceleration
product rule
continuity at a point
arctangent function
50. 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 left-most point of the sub-interval
left-hand sum
absolute maximum
minimum
product rule