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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 the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
domain
sine function
instantaneous velocity
axis of symmetry
2. The differentiation of an implicit function with respect to the independent variable
y-axis
implicit differentiation
closed interval [a -b]
continuity on an interval
3. The local and global maximums and minumums of a function
minimum
y-axis
extrenum
tangent function
4. Notation used for the first derivative of a function
average rate of change
root of an equation
dy/dx (Leibniz notation)
radius of a circle
5. The rate of change of position with respect to time
separable differential equation
cosine function
velocity
normal line
6. The process of evaluating an indefinite integral
continuous function
antidifferentiation
secant line
sine function
7. The set of points in a plane that are equidistant from a given point
domain
secant line
circle
linear function
8. The reciprocal of the cosine function
concave down
second derivative
secant function
continuity on an interval
9. f(-x)= -f(x)
axis of rotation
odd function
constant of integration
maximum
10. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
indefinite integral
dy/dx (Leibniz notation)
first derivative test
concave up
11. A method of obtaining the derivative of a composite function
zero of a function
x-axis
continuity on an interval
chain rule
12. An indefinite integral. an arbitrary constant '+c' is included
antiderivative
maximum
limit of integration
discontinuity
13. A function that is continuous on both the left and right side at that point
left-hand sum
continuity at a point
secant function
right-hand limit
14. 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
region (in a plane)
instantaneous velocity
dy/dx (Leibniz notation)
15. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
critical value
product rule
rate of change
relative maximum
16. A line around which some body or curve rotates
relative minimum
x-intercept
zero of a function
axis of rotation
17. 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
discontinuity
concave up
related rates
increasing on an interval
18. The solid figure generated by revolving a plane region around a line
minimum
trapezoidal rule
solid of revolution
continuity at a point
19. Any function closely related to the exponential function - and in particular y=a^x - for any a
relative minimum
y-intercept
exponential function
continuity on an interval
20. 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.
second derivative test
increasing on an interval
absolute minimum
y-axis
21. The limit of f as x approaches c from the right
right-hand limit
optimization
integration
y-intercept
22. A function that can be expressed in the form f(x)=mx+b
linear function
decreasing on an interval
approximation
limit
23. The derivative of the first derivative
integrand
second derivative
limit
origin
24. 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
dy/dx (Leibniz notation)
middle sum
integration
piecewise-defined function
25. A line around which a geometric figure is symmetrical
position function
axis of symmetry
integration
antidifferentiation
26. Any ordered pair (x -y) where f'(x)=0 or is undefined
critical point
piecewise-defined function
trapezoidal rule
rate of change
27. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
integrable function
integrand
relative maximum
linear approximation
28. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
right-hand limit
instantaneous rate of change
closed interval [a -b]
29. The function that is integrated in an integral
integrand
axis of symmetry
critical point
right-hand limit
30. The set of all values that can be assumed by the independent variable of a function
root of an equation
arccosine function
domain
cosine function
31. A function that is defined by applying different formulas to different parts of its domain
indefinite integral
linear function
piecewise-defined function
cross-sectional area
32. The absolute value or magnitude of velocity
second derivative test
speed
differentiability
extrenum
33. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
limit
instantaneous velocity
y-axis
absolute maximum
34. Having a decreasing derivative as the independent variable increases; having a negative second derivative
integration by substitution
concave down
integrable function
tangent function
35. The function y=lnx is the inverse of the exponential function y=e^x
second derivative
trapezoidal rule
natural logarithm
absolute maximum
36. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
linear approximation
odd function
zero of a function
domain
37. If a function has a well-defined derivative for each element of the domain
integration
differentiability
exponential function
limit
38. 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
axis of rotation
amplitude
concave up
first derivative test
39. A function has a relative maximum if the derivative changes signs from positive to zero to negative
constant of integration
cotangent function
relative maximum
concave up
40. 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
linear function
extrenum
cosecant function
41. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
zero of a function
speed
differentiation
sine function
42. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
prime notation
acceleration
average rate of change
minimum
43. The amount of change divided by the time it takes
relative maximum
region (in a plane)
decreasing on an interval
rate of change
44. The inverse of the cosine function
approximation
cotangent function
arccosine function
x-intercept
45. The process by which an antiderivative is calculated
constant function
limit
absolute minimum
integration
46. A function has a relative minimum if the derivative changes signs from negative to zero to positive
limit of integration
relative minimum
x-intercept
amplitude
47. Local maximums of minimums of a function
local extrema
circle
differentiation
first derivative test
48. 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
extrenum
linear approximation
absolute minimum
49. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
concave down
cosine function
tangent function
region (in a plane)
50. A function that is a fixed numerical value for all elements of the domain of the function
x-intercept
constant function
tangent line
acceleration
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