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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. 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
integrand
instantaneous rate of change
dy/dx (Leibniz notation)
critical value
2. The reciprocal of the tangent function
cross-sectional area
speed
left-hand sum
cotangent function
3. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
cross-sectional area
right-hand sum
differentiability
acceleration
4. Any ordered pair (x -y) where f'(x)=0 or is undefined
continuity on an interval
critical point
radius of a circle
closed interval [a -b]
5. The set of points in a plane that are equidistant from a given point
minimum
concave down
right-hand limit
circle
6. Having an increasing derivative as the independent variable increases - having a positive second derivative
concave up
domain
coefficient
concave down
7. A function that can be expressed in the form f(x)=mx+b
local extrema
linear function
instantaneous rate of change
definite integral
8. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
sine function
zero of a function
tangent function
related rates
9. A line around which a geometric figure is symmetrical
axis of symmetry
cosine function
approximation
domain
10. 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)
tangent line
slope
rate of change
x-intercept
11. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
position function
prime notation
absolute minimum
product rule
12. A function that is defined by applying different formulas to different parts of its domain
velocity
antiderivative
base (exponential and logarithmic)
piecewise-defined function
13. A line through two points on the curve
product rule
secant line
acceleration
origin
14. A method of obtaining the derivative of a composite function
domain
chain rule
x-axis
arctangent function
15. The rate of change of the velocity with respect to time. the second derivative of a position function
indefinite integral
acceleration
integration
limit
16. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
approximation
maximum
definite integral
limit of integration
17. The set of all values that can be assumed by the independent variable of a function
definite integral
domain
arccosine function
arcsine function
18. A function that possesses a finite integral; the function must be continuous on the interval of integration
circle
related rates
integrable function
inflection point
19. The inverse of the tangent function
arctangent function
right-hand limit
odd function
left-hand sum
20. A function that is continuous on both the left and right side at that point
speed
related rates
continuity at a point
increasing on an interval
21. Any x values where f'(x)=0 or is undefined
separable differential equation
second derivative test
critical value
piecewise-defined function
22. The y-coordinate of a point where a curve intersects the y-axis
y-intercept
radius of a circle
differentiation
limit of integration
23. The differentiation of an implicit function with respect to the independent variable
velocity
related rates
absolute maximum
implicit differentiation
24. A segment from the center of the circle to a point on the circle
radius of a circle
cross-sectional area
antiderivative
sine function
25. 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
chain rule
tangent function
acceleration
26. A function that is continuous at every point on the interval
cosecant function
tangent line
cotangent function
continuity on an interval
27. A line perpendicular to a tangent line at the point of tangency
decreasing on an interval
normal line
tangent function
origin
28. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
product rule
integration by substitution
tangent line
position function
29. 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
separable differential equation
continuity at a point
constant of integration
related rates
30. 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
local linearization
y-intercept
dy/dx (Leibniz notation)
coefficient
31. An indefinite integral. an arbitrary constant '+c' is included
absolute maximum
antiderivative
secant function
constant of integration
32. In periodic functions - the height of the function at the maximum to the middle line
amplitude
natural logarithm
limit of integration
normal line
33. The point (0 -0) in the Cartesian coordinate plane
chain rule
origin
middle sum
related rates
34. The local and global maximums and minumums of a function
cross-sectional area
arctangent function
first derivative test
extrenum
35. A function has a relative minimum if the derivative changes signs from negative to zero to positive
continuity on an interval
relative minimum
piecewise-defined function
exponential function
36. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
rate of change
position function
prime notation
minimum
37. The inverse of the sine function
coefficient
integrable function
closed interval [a -b]
arcsine function
38. Notation used for the first derivative of a function
prime notation
implicit differentiation
dy/dx (Leibniz notation)
continuity at a point
39. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
indefinite integral
integration by substitution
constant function
concave up
40. For all x in [a -b] - f'(x)>0
product rule
increasing on an interval
instantaneous velocity
domain
41. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
instantaneous velocity
second derivative
limit of integration
continuous function
42. If a function has a well-defined derivative for each element of the domain
first derivative test
differentiability
axis of symmetry
relative minimum
43. For all x in [a -b] - f'(x)<0
tangent function
left-hand sum
decreasing on an interval
inflection point
44. The amount of change divided by the time it takes
axis of rotation
optimization
tangent function
rate of change
45. f(-x)= -f(x)
odd function
antidifferentiation
rate of change
second derivative
46. 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
inflection point
right-hand sum
position function
47. The process by which an antiderivative is calculated
x-intercept
domain
speed
integration
48. 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
differentiability
absolute minimum
tangent line
related rates
49. A line around which some body or curve rotates
axis of rotation
exponential function
inflection point
second derivative test
50. Any function closely related to the exponential function - and in particular y=a^x - for any a
x-intercept
continuity on an interval
exponential function
instantaneous velocity
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