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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 set of points in a plane that are equidistant from a given point
x-axis
circle
solid of revolution
second derivative
2. A function that can be expressed in the form f(x)=mx+b
separable differential equation
maximum
linear function
exponential function
3. A function has a relative minimum if the derivative changes signs from negative to zero to positive
differentiability
relative minimum
base (exponential and logarithmic)
extrenum
4. The vertical axis of the Cartesian coordinate system
y-axis
slope
differentiation
integration
5. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute minimum
solid of revolution
discontinuity
critical value
6. 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
coefficient
dy/dx (Leibniz notation)
slope
origin
7. The solid figure generated by revolving a plane region around a line
solid of revolution
cosine function
cotangent function
linear approximation
8. Any x values where f'(x)=0 or is undefined
x-axis
critical value
amplitude
instantaneous velocity
9. Any function closely related to the exponential function - and in particular y=a^x - for any a
exponential function
relative minimum
solid of revolution
discontinuity
10. 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
right-hand sum
instantaneous velocity
root of an equation
circle
11. For all x in [a -b] - f'(x)>0
increasing on an interval
circle
right-hand sum
zero of a function
12. A line around which a geometric figure is symmetrical
axis of symmetry
middle sum
arctangent function
x-intercept
13. The local and global maximums and minumums of a function
extrenum
first derivative test
continuity at a point
axis of symmetry
14. Notation used for the first derivative of a function
dy/dx (Leibniz notation)
definite integral
tangent function
cotangent function
15. The absolute value or magnitude of velocity
acceleration
speed
middle sum
normal line
16. A line around which some body or curve rotates
odd function
related rates
antiderivative
axis of rotation
17. The number which - when raised to the power of a given logarithm - produces a given number
continuity at a point
base (exponential and logarithmic)
approximation
absolute minimum
18. A function such that the following is true
integration
continuous function
sine function
instantaneous rate of change
19. An arbitrary constant term in the expression of the indefinite integral of a function
constant of integration
cotangent function
separable differential equation
right-hand limit
20. The set of all values that can be assumed by the independent variable of a function
instantaneous rate of change
normal line
domain
indefinite integral
21. A function f that gives the position f(t) of a body on a coordinate axis at time t
acceleration
cosine function
middle sum
position function
22. The rate of change of position with respect to time
tangent line
velocity
relative maximum
absolute minimum
23. For all x in [a -b] - f'(x)<0
trapezoidal rule
position function
decreasing on an interval
definite integral
24. Having a decreasing derivative as the independent variable increases; having a negative second derivative
arccosine function
increasing on an interval
concave down
related rates
25. The process by which an antiderivative is calculated
relative maximum
constant function
integration
optimization
26. Slope between two points on a function
cross-sectional area
constant of integration
y-intercept
average rate of change
27. 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
critical value
concave down
root of an equation
maximum
28. The smallest value of a function for each value of the domain
tangent line
cotangent function
amplitude
minimum
29. A function has a relative maximum if the derivative changes signs from positive to zero to negative
maximum
increasing on an interval
relative maximum
middle sum
30. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
discontinuity
minimum
indefinite integral
tangent function
31. 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
relative maximum
antidifferentiation
separable differential equation
right-hand sum
32. If a function has a well-defined derivative for each element of the domain
differentiation
absolute minimum
differentiability
y-intercept
33. The ratio x/r with r being the distance of (x -y) from the origin
instantaneous rate of change
maximum
cosine function
indefinite integral
34. The reciprocal of the tangent function
cotangent function
optimization
x-intercept
continuity on an interval
35. 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
velocity
discontinuity
region (in a plane)
decreasing on an interval
36. An indefinite integral. an arbitrary constant '+c' is included
origin
cross-sectional area
antiderivative
antidifferentiation
37. The derivative of the first derivative
second derivative
average rate of change
exponential function
first derivative test
38. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
product rule
speed
antiderivative
region (in a plane)
39. In an application - maximizing or minimizing some aspect of the system being modeled
prime notation
optimization
critical point
circle
40. The inverse of the tangent function
cosecant function
continuity at a point
arctangent function
extrenum
41. The highest value of a function for each value of the domain
region (in a plane)
maximum
local linearization
concave down
42. The rate of change of the velocity with respect to time. the second derivative of a position function
integration by substitution
definite integral
acceleration
odd function
43. The reciprocal of the sine function
linear approximation
inflection point
piecewise-defined function
cosecant function
44. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
integration by substitution
cosine function
coefficient
zero of a function
45. 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 test
acceleration
inflection point
46. 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
antidifferentiation
amplitude
first derivative test
product rule
47. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
optimization
linear function
prime notation
second derivative
48. A number which serves as an estimate of a desired number
left-hand sum
extrenum
discontinuity
approximation
49. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
indefinite integral
trapezoidal rule
continuity at a point
50. The process of finding the derivative of a function
instantaneous rate of change
concave down
differentiation
increasing on an interval