SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
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. Notation used for the first derivative of a function
separable differential equation
discontinuity
dy/dx (Leibniz notation)
coefficient
2. The absolute value or magnitude of velocity
speed
integration by substitution
concave up
discontinuity
3. The smallest value of a function for each value of the domain
minimum
circle
continuity on an interval
y-axis
4. The horizontal axis of the Cartesian coordinate system
constant function
normal line
prime notation
x-axis
5. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
linear approximation
implicit differentiation
region (in a plane)
indefinite integral
6. A function has a relative maximum if the derivative changes signs from positive to zero to negative
relative maximum
arccosine function
y-intercept
product rule
7. A line around which a geometric figure is symmetrical
axis of rotation
constant function
axis of symmetry
optimization
8. The inverse of the cosine function
arccosine function
dy/dx (Leibniz notation)
integrable function
rate of change
9. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
origin
x-axis
natural logarithm
absolute minimum
10. A=x=b
closed interval [a -b]
decreasing on an interval
region (in a plane)
antidifferentiation
11. The rate of change of position with respect to time
arctangent function
integrable function
differentiation
velocity
12. 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
linear approximation
right-hand sum
cross-sectional area
13. The set of all values that can be assumed by the independent variable of a function
linear approximation
origin
rate of change
domain
14. 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
definite integral
speed
circle
15. A method of approximating to an integral as the limit of a sum of areas of a trapezoids. can be done by averaging a left hand sum and a right hand sum.
trapezoidal rule
y-axis
inflection point
relative maximum
16. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
prime notation
axis of symmetry
region (in a plane)
local linearization
17. In an application - maximizing or minimizing some aspect of the system being modeled
chain rule
concave up
optimization
origin
18. The reciprocal of the cosine function
radius of a circle
cross-sectional area
secant function
cosine function
19. 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
limit of integration
discontinuity
absolute maximum
dy/dx (Leibniz notation)
20. The rate of change of the velocity with respect to time. the second derivative of a position function
continuous function
root of an equation
trapezoidal rule
acceleration
21. Any ordered pair (x -y) where f'(x)=0 or is undefined
related rates
critical point
middle sum
instantaneous rate of change
22. For all x in [a -b] - f'(x)<0
product rule
decreasing on an interval
increasing on an interval
natural logarithm
23. A line around which some body or curve rotates
absolute maximum
axis of rotation
approximation
antiderivative
24. An indefinite integral. an arbitrary constant '+c' is included
base (exponential and logarithmic)
prime notation
limit
antiderivative
25. A function that can be expressed in the form f(x)=mx+b
relative minimum
instantaneous rate of change
coefficient
linear function
26. If a function has a well-defined derivative for each element of the domain
cosecant function
instantaneous velocity
separable differential equation
differentiability
27. An arbitrary constant term in the expression of the indefinite integral of a function
continuity on an interval
arccosine function
constant of integration
integration by substitution
28. A segment from the center of the circle to a point on the circle
approximation
absolute maximum
speed
radius of a circle
29. 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
maximum
continuity at a point
continuity on an interval
root of an equation
30. The derivative of the first derivative
extrenum
concave up
x-axis
second derivative
31. 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
speed
increasing on an interval
acceleration
instantaneous rate of change
32. f(-x)= -f(x)
odd function
minimum
trapezoidal rule
cotangent function
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
separable differential equation
arctangent function
concave up
antidifferentiation
34. 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
continuity on an interval
coefficient
concave up
relative minimum
35. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
x-axis
differentiation
indefinite integral
definite integral
36. 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
inflection point
closed interval [a -b]
dy/dx (Leibniz notation)
37. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute maximum
prime notation
extrenum
solid of revolution
38. The inverse of the sine function
rate of change
cotangent function
arcsine function
chain rule
39. For all x in [a -b] - f'(x)>0
position function
optimization
increasing on an interval
second derivative test
40. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
local linearization
integrand
linear function
continuity at a point
41. In integrating composite function - either using pattern recognition or change of variables to perform the integration
integration by substitution
relative maximum
definite integral
x-axis
42. Any x values where f'(x)=0 or is undefined
arccosine function
critical value
arcsine function
cotangent function
43. The function that is integrated in an integral
integrand
increasing on an interval
second derivative test
local extrema
44. A method of obtaining the derivative of a composite function
chain rule
cosine function
related rates
relative maximum
45. 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
separable differential equation
limit
base (exponential and logarithmic)
46. The highest value of a function for each value of the domain
secant line
maximum
amplitude
antidifferentiation
47. 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
closed interval [a -b]
linear approximation
48. A line perpendicular to a tangent line at the point of tangency
middle sum
absolute maximum
trapezoidal rule
normal line
49. 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
radius of a circle
normal line
limit
50. The number which - when raised to the power of a given logarithm - produces a given number
solid of revolution
related rates
prime notation
base (exponential and logarithmic)