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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=x=b
optimization
radius of a circle
closed interval [a -b]
secant line
2. The solid figure generated by revolving a plane region around a line
indefinite integral
domain
solid of revolution
integrable function
3. The function that is integrated in an integral
linear function
second derivative
integrand
local linearization
4. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute minimum
instantaneous velocity
integration
position function
5. In periodic functions - the height of the function at the maximum to the middle line
amplitude
axis of symmetry
product rule
speed
6. An indefinite integral. an arbitrary constant '+c' is included
antiderivative
linear function
rate of change
differentiability
7. For all x in [a -b] - f'(x)>0
increasing on an interval
velocity
arccosine function
inflection point
8. The differentiation of an implicit function with respect to the independent variable
implicit differentiation
linear approximation
cotangent function
first derivative test
9. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
approximation
solid of revolution
region (in a plane)
cosecant function
10. For all x in [a -b] - f'(x)<0
decreasing on an interval
slope
instantaneous velocity
maximum
11. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
increasing on an interval
product rule
trapezoidal rule
axis of rotation
12. Any function closely related to the exponential function - and in particular y=a^x - for any a
limit of integration
local extrema
rate of change
exponential function
13. The set of points in a plane that are equidistant from a given point
integration
region (in a plane)
local extrema
circle
14. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
continuity on an interval
indefinite integral
related rates
exponential function
15. In integrating composite function - either using pattern recognition or change of variables to perform the integration
closed interval [a -b]
local extrema
slope
integration by substitution
16. The absolute value or magnitude of velocity
antidifferentiation
speed
approximation
x-intercept
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
instantaneous rate of change
linear function
limit of integration
arcsine function
18. A function has a relative minimum if the derivative changes signs from negative to zero to positive
origin
optimization
zero of a function
relative minimum
19. f(-x)= -f(x)
odd function
limit
concave down
absolute maximum
20. The horizontal axis of the Cartesian coordinate system
local extrema
axis of rotation
x-axis
increasing on an interval
21. A function that can be expressed in the form f(x)=mx+b
instantaneous rate of change
continuity on an interval
linear function
concave up
22. The process of evaluating an indefinite integral
implicit differentiation
secant function
antidifferentiation
critical value
23. The reciprocal of the sine function
decreasing on an interval
arctangent function
zero of a function
cosecant function
24. 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
differentiation
middle sum
related rates
relative minimum
25. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
continuous function
definite integral
continuity on an interval
local linearization
26. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
integrable function
increasing on an interval
instantaneous velocity
optimization
27. The vertical axis of the Cartesian coordinate system
integration by substitution
y-axis
separable differential equation
zero of a function
28. The point (0 -0) in the Cartesian coordinate plane
rate of change
approximation
absolute maximum
origin
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 left-most point of the sub-interval
domain
exponential function
left-hand sum
product rule
30. If a function has a well-defined derivative for each element of the domain
solid of revolution
arcsine function
integrable function
differentiability
31. The inverse of the sine function
arcsine function
axis of symmetry
zero of a function
local linearization
32. A line through two points on the curve
speed
y-intercept
tangent function
secant line
33. 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
product rule
circle
tangent line
right-hand sum
34. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
relative minimum
increasing on an interval
second derivative test
definite integral
35. Notation used for the first derivative of a function
dy/dx (Leibniz notation)
second derivative
relative maximum
acceleration
36. A segment from the center of the circle to a point on the circle
cosecant function
right-hand limit
radius of a circle
trapezoidal rule
37. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
second derivative test
extrenum
domain
zero of a function
38. 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)
amplitude
tangent line
maximum
definite integral
39. The amount of change divided by the time it takes
tangent function
axis of symmetry
first derivative test
rate of change
40. The rate of change of the velocity with respect to time. the second derivative of a position function
second derivative
acceleration
instantaneous velocity
integration
41. Local maximums of minimums of a function
limit
position function
local extrema
velocity
42. A function that is continuous at every point on the interval
continuous function
inflection point
extrenum
continuity on an interval
43. Slope between two points on a function
integrand
constant of integration
average rate of change
y-axis
44. The process of finding the derivative of a function
sine function
integration by substitution
instantaneous velocity
differentiation
45. A point where a function changes concavity; also - where the second derivative changes signs
natural logarithm
indefinite integral
origin
inflection point
46. Any ordered pair (x -y) where f'(x)=0 or is undefined
velocity
inflection point
cosine function
critical point
47. 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
exponential function
coefficient
trapezoidal rule
y-axis
48. A function that is continuous on both the left and right side at that point
differentiability
product rule
x-axis
continuity at a point
49. If f'(c)=0 and f''(c)>0 - then f has a local maximum at x=c. if f'(c)=0 and f''(c)<0 - then f has a local minimum at x=c.
exponential function
tangent line
separable differential equation
second derivative test
50. A function f that gives the position f(t) of a body on a coordinate axis at time t
integration
coefficient
position function
approximation