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. The x-coordinate of the point where a curve intersects the x-axis
tangent line
indefinite integral
closed interval [a -b]
x-intercept
2. In integrating composite function - either using pattern recognition or change of variables to perform the integration
y-axis
integration by substitution
slope
discontinuity
3. Either of the endpoints of an interval over which a definite integral is to be evaluated
relative maximum
exponential function
limit of integration
prime notation
4. f(-x)= -f(x)
odd function
left-hand sum
radius of a circle
normal line
5. The ratio x/r with r being the distance of (x -y) from the origin
related rates
instantaneous velocity
coefficient
cosine function
6. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
local extrema
zero of a function
natural logarithm
y-intercept
7. The set of all values that can be assumed by the independent variable of a function
domain
discontinuity
second derivative test
decreasing on an interval
8. An arbitrary constant term in the expression of the indefinite integral of a function
constant of integration
limit
piecewise-defined function
odd function
9. A function that is a fixed numerical value for all elements of the domain of the function
integrable function
constant of integration
differentiation
constant function
10. 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
average rate of change
root of an equation
integrand
rate of change
11. The process by which an antiderivative is calculated
left-hand sum
cosecant function
integration
position function
12. Notation used for the first derivative of a function
zero of a function
concave down
dy/dx (Leibniz notation)
rate of change
13. Having an increasing derivative as the independent variable increases - having a positive second derivative
extrenum
root of an equation
inflection point
concave up
14. A line perpendicular to a tangent line at the point of tangency
normal line
relative maximum
instantaneous velocity
implicit differentiation
15. A function that is continuous on both the left and right side at that point
continuity at a point
dy/dx (Leibniz notation)
absolute maximum
sine function
16. The reciprocal of the sine function
implicit differentiation
arcsine function
cosecant function
integration
17. The function that is integrated in an integral
integrand
antiderivative
coefficient
first derivative test
18. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
concave down
absolute minimum
limit of integration
axis of rotation
19. The smallest value of a function for each value of the domain
relative maximum
y-axis
absolute minimum
minimum
20. Having a decreasing derivative as the independent variable increases; having a negative second derivative
cosecant function
linear approximation
concave down
domain
21. A point where a function changes concavity; also - where the second derivative changes signs
inflection point
x-axis
piecewise-defined function
indefinite integral
22. The reciprocal of the cosine function
relative minimum
secant function
minimum
x-axis
23. The point (0 -0) in the Cartesian coordinate plane
origin
antiderivative
natural logarithm
instantaneous rate of change
24. A=x=b
radius of a circle
inflection point
closed interval [a -b]
constant function
25. The local and global maximums and minumums of a function
inflection point
extrenum
slope
circle
26. The y-coordinate of a point where a curve intersects the y-axis
x-intercept
definite integral
instantaneous rate of change
y-intercept
27. Any function closely related to the exponential function - and in particular y=a^x - for any a
y-intercept
exponential function
x-intercept
tangent function
28. The number which - when raised to the power of a given logarithm - produces a given number
cosecant function
base (exponential and logarithmic)
constant of integration
local linearization
29. 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
optimization
secant function
antidifferentiation
separable differential equation
30. The inverse of the cosine function
implicit differentiation
arccosine function
amplitude
middle sum
31. The rate of change of the velocity with respect to time. the second derivative of a position function
y-axis
acceleration
linear approximation
middle sum
32. In periodic functions - the height of the function at the maximum to the middle line
cross-sectional area
amplitude
instantaneous rate of change
x-axis
33. A method of obtaining the derivative of a composite function
chain rule
circle
extrenum
dy/dx (Leibniz notation)
34. 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
absolute minimum
differentiability
critical value
35. 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
instantaneous velocity
continuity at a point
limit of integration
36. 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
integration by substitution
minimum
discontinuity
axis of rotation
37. The differentiation of an implicit function with respect to the independent variable
implicit differentiation
odd function
limit of integration
average rate of change
38. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
closed interval [a -b]
middle sum
tangent line
prime notation
39. 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
minimum
first derivative test
right-hand sum
optimization
40. 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
axis of rotation
extrenum
middle sum
zero of a function
41. 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
piecewise-defined function
first derivative test
average rate of change
inflection point
42. A line around which a geometric figure is symmetrical
axis of symmetry
dy/dx (Leibniz notation)
optimization
critical point
43. The vertical axis of the Cartesian coordinate system
product rule
implicit differentiation
natural logarithm
y-axis
44. A function that is continuous at every point on the interval
continuity at a point
concave up
right-hand limit
continuity on an interval
45. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
prime notation
indefinite integral
antidifferentiation
left-hand sum
46. A function that is defined by applying different formulas to different parts of its domain
base (exponential and logarithmic)
right-hand limit
odd function
piecewise-defined function
47. The horizontal axis of the Cartesian coordinate system
constant of integration
x-axis
odd function
continuous function
48. The function y=lnx is the inverse of the exponential function y=e^x
tangent function
second derivative
natural logarithm
maximum
49. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
coefficient
relative maximum
amplitude
definite integral
50. The rate of change of position with respect to time
approximation
continuous function
origin
velocity