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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 reciprocal of the sine function
arctangent function
cosecant function
coefficient
base (exponential and logarithmic)
2. 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
arccosine function
acceleration
coefficient
3. A line around which some body or curve rotates
axis of rotation
approximation
absolute minimum
instantaneous rate of change
4. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
definite integral
critical value
concave up
optimization
5. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
position function
base (exponential and logarithmic)
zero of a function
linear approximation
6. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
prime notation
middle sum
continuity on an interval
domain
7. The limit of f as x approaches c from the right
secant line
secant function
limit of integration
right-hand limit
8. A function that is continuous on both the left and right side at that point
integrable function
radius of a circle
continuity at a point
second derivative
9. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
local linearization
absolute minimum
region (in a plane)
differentiation
10. The process of evaluating an indefinite integral
antidifferentiation
y-axis
y-intercept
origin
11. A function has a relative maximum if the derivative changes signs from positive to zero to negative
relative maximum
average rate of change
prime notation
chain rule
12. A function that possesses a finite integral; the function must be continuous on the interval of integration
radius of a circle
normal line
integrable function
cosine function
13. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
instantaneous velocity
cotangent function
cross-sectional area
constant of integration
14. A function that is a fixed numerical value for all elements of the domain of the function
constant function
extrenum
slope
right-hand limit
15. Any ordered pair (x -y) where f'(x)=0 or is undefined
exponential function
local extrema
critical point
limit of integration
16. The local and global maximums and minumums of a function
acceleration
extrenum
middle sum
position function
17. The vertical axis of the Cartesian coordinate system
right-hand limit
y-axis
local linearization
rate of change
18. The horizontal axis of the Cartesian coordinate system
sine function
critical point
axis of rotation
x-axis
19. The highest value of a function for each value of the domain
inflection point
maximum
differentiability
constant of integration
20. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
decreasing on an interval
zero of a function
circle
domain
21. In periodic functions - the height of the function at the maximum to the middle line
base (exponential and logarithmic)
y-axis
constant of integration
amplitude
22. The number which - when raised to the power of a given logarithm - produces a given number
base (exponential and logarithmic)
right-hand sum
antidifferentiation
implicit differentiation
23. If a function has a well-defined derivative for each element of the domain
secant function
prime notation
differentiability
approximation
24. A line perpendicular to a tangent line at the point of tangency
integrand
decreasing on an interval
increasing on an interval
normal line
25. A function such that the following is true
extrenum
critical value
continuous function
odd function
26. A function that is defined by applying different formulas to different parts of its domain
dy/dx (Leibniz notation)
continuity on an interval
piecewise-defined function
definite integral
27. The point (0 -0) in the Cartesian coordinate plane
base (exponential and logarithmic)
origin
second derivative
trapezoidal rule
28. 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
differentiation
acceleration
maximum
29. 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
relative maximum
slope
prime notation
differentiability
30. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
cross-sectional area
instantaneous velocity
limit
arccosine function
31. In an application - maximizing or minimizing some aspect of the system being modeled
y-intercept
arccosine function
instantaneous rate of change
optimization
32. A segment from the center of the circle to a point on the circle
rate of change
indefinite integral
radius of a circle
inflection point
33. 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
indefinite integral
separable differential equation
amplitude
cotangent function
34. A function that is continuous at every point on the interval
increasing on an interval
continuity on an interval
differentiability
minimum
35. Local maximums of minimums of a function
local extrema
concave up
maximum
normal line
36. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
slope
product rule
axis of symmetry
piecewise-defined function
37. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
indefinite integral
chain rule
limit
arccosine function
38. The absolute value or magnitude of velocity
differentiability
chain rule
speed
relative minimum
39. 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)
continuous function
arcsine function
closed interval [a -b]
40. The inverse of the cosine function
trapezoidal rule
arccosine function
increasing on an interval
tangent function
41. Any x values where f'(x)=0 or is undefined
differentiability
critical value
circle
solid of revolution
42. A number which serves as an estimate of a desired number
prime notation
secant function
critical value
approximation
43. The rate of change of position with respect to time
velocity
constant of integration
integrable function
x-intercept
44. A function f that gives the position f(t) of a body on a coordinate axis at time t
position function
differentiability
approximation
minimum
45. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
differentiability
radius of a circle
secant line
46. f(-x)= -f(x)
odd function
cotangent function
cross-sectional area
normal line
47. A method of obtaining the derivative of a composite function
critical value
origin
approximation
chain rule
48. The set of points in a plane that are equidistant from a given point
circle
inflection point
concave down
differentiability
49. 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
region (in a plane)
normal line
cotangent function
root of an equation
50. A function that can be expressed in the form f(x)=mx+b
right-hand sum
linear function
inflection point
closed interval [a -b]