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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. An arbitrary constant term in the expression of the indefinite integral of a function
relative maximum
constant of integration
integrand
normal line
2. The rate of change of position with respect to time
related rates
discontinuity
velocity
implicit differentiation
3. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
base (exponential and logarithmic)
local linearization
definite integral
inflection point
4. The amount of change divided by the time it takes
rate of change
domain
first derivative test
concave down
5. The horizontal axis of the Cartesian coordinate system
x-axis
product rule
arcsine function
velocity
6. A function has a relative maximum if the derivative changes signs from positive to zero to negative
left-hand sum
relative maximum
zero of a function
cotangent function
7. The ratio x/r with r being the distance of (x -y) from the origin
right-hand sum
cosine function
integration by substitution
secant line
8. 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)
antiderivative
tangent line
extrenum
right-hand sum
9. A function that is defined by applying different formulas to different parts of its domain
limit of integration
piecewise-defined function
approximation
rate of change
10. The highest value of a function for each value of the domain
position function
maximum
optimization
differentiability
11. The process by which an antiderivative is calculated
integration
right-hand limit
dy/dx (Leibniz notation)
indefinite integral
12. Slope between two points on a function
local linearization
constant function
average rate of change
coefficient
13. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
minimum
position function
limit
indefinite integral
14. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
cotangent function
relative minimum
speed
sine function
15. The vertical axis of the Cartesian coordinate system
root of an equation
increasing on an interval
extrenum
y-axis
16. A function that can be expressed in the form f(x)=mx+b
solid of revolution
axis of rotation
linear function
integration
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
integrand
x-axis
constant of integration
related rates
18. The y-coordinate of a point where a curve intersects the y-axis
axis of rotation
natural logarithm
relative minimum
y-intercept
19. The smallest value of a function for each value of the domain
first derivative test
definite integral
origin
minimum
20. 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
middle sum
implicit differentiation
left-hand sum
base (exponential and logarithmic)
21. A function that is continuous at every point on the interval
critical value
cosecant function
continuity on an interval
instantaneous velocity
22. Having a decreasing derivative as the independent variable increases; having a negative second derivative
concave down
inflection point
region (in a plane)
continuity at a point
23. The x-coordinate of the point where a curve intersects the x-axis
continuity at a point
integration by substitution
x-intercept
velocity
24. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side
tangent function
acceleration
speed
cosine function
25. The limit of f as x approaches c from the right
concave up
y-intercept
critical point
right-hand limit
26. A line perpendicular to a tangent line at the point of tangency
separable differential equation
antidifferentiation
normal line
chain rule
27. A function such that the following is true
linear function
indefinite integral
x-intercept
continuous function
28. 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
domain
right-hand sum
chain rule
minimum
29. Having an increasing derivative as the independent variable increases - having a positive second derivative
concave up
domain
base (exponential and logarithmic)
root of an equation
30. A line through two points on the curve
increasing on an interval
slope
secant line
relative minimum
31. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
cosine function
instantaneous rate of change
integrand
absolute minimum
32. A line around which some body or curve rotates
closed interval [a -b]
axis of rotation
integrand
second derivative test
33. A line around which a geometric figure is symmetrical
trapezoidal rule
second derivative test
region (in a plane)
axis of symmetry
34. A function f that gives the position f(t) of a body on a coordinate axis at time t
position function
absolute minimum
tangent line
integrand
35. The differentiation of an implicit function with respect to the independent variable
origin
cosine function
implicit differentiation
base (exponential and logarithmic)
36. Notation used for the first derivative of a function
dy/dx (Leibniz notation)
middle sum
second derivative test
velocity
37. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
x-intercept
solid of revolution
extrenum
indefinite integral
38. The set of all values that can be assumed by the independent variable of a function
axis of rotation
domain
normal line
radius of a circle
39. 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
linear approximation
optimization
differentiability
slope
40. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
constant of integration
related rates
radius of a circle
linear approximation
41. The inverse of the tangent function
maximum
left-hand sum
solid of revolution
arctangent function
42. For all x in [a -b] - f'(x)<0
right-hand sum
integration by substitution
decreasing on an interval
concave down
43. The derivative of the first derivative
second derivative
instantaneous rate of change
exponential function
local linearization
44. 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
middle sum
y-axis
piecewise-defined function
sine function
45. A segment from the center of the circle to a point on the circle
radius of a circle
closed interval [a -b]
increasing on an interval
tangent line
46. In integrating composite function - either using pattern recognition or change of variables to perform the integration
solid of revolution
linear approximation
linear function
integration by substitution
47. In an application - maximizing or minimizing some aspect of the system being modeled
sine function
second derivative
optimization
related rates
48. 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
axis of symmetry
first derivative test
continuity on an interval
49. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
circle
zero of a function
antidifferentiation
sine function
50. Either of the endpoints of an interval over which a definite integral is to be evaluated
position function
limit of integration
first derivative test
instantaneous velocity