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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 expression for the evaluation of the indefinite integral of a positive function between two limits of integration
second derivative test
definite integral
absolute maximum
constant of integration
2. The limit of f as x approaches c from the right
indefinite integral
antidifferentiation
velocity
right-hand limit
3. For all x in [a -b] - f'(x)<0
decreasing on an interval
slope
middle sum
minimum
4. f(-x)= -f(x)
instantaneous rate of change
local extrema
odd function
cosine function
5. Any function closely related to the exponential function - and in particular y=a^x - for any a
exponential function
critical point
continuity at a point
limit
6. The inverse of the cosine function
arccosine function
cotangent function
optimization
acceleration
7. A function that is continuous on both the left and right side at that point
integrand
cotangent function
concave down
continuity at a point
8. A method of obtaining the derivative of a composite function
right-hand limit
chain rule
x-axis
slope
9. A line around which some body or curve rotates
product rule
normal line
axis of rotation
concave up
10. A line through two points on the curve
tangent function
cosecant function
secant line
constant of integration
11. 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
decreasing on an interval
optimization
indefinite integral
tangent function
12. The process of evaluating an indefinite integral
maximum
antidifferentiation
concave down
critical value
13. For all x in [a -b] - f'(x)>0
decreasing on an interval
integrable function
middle sum
increasing on an interval
14. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
separable differential equation
natural logarithm
chain rule
local linearization
15. The inverse of the sine function
rate of change
arcsine function
antidifferentiation
axis of rotation
16. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
limit of integration
axis of symmetry
region (in a plane)
circle
17. The reciprocal of the sine function
speed
zero of a function
absolute minimum
cosecant function
18. In periodic functions - the height of the function at the maximum to the middle line
secant line
relative minimum
amplitude
product rule
19. The local and global maximums and minumums of a function
extrenum
acceleration
critical value
linear approximation
20. A function has a relative maximum if the derivative changes signs from positive to zero to negative
velocity
right-hand sum
relative maximum
arcsine function
21. 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.
implicit differentiation
critical point
second derivative
second derivative test
22. The reciprocal of the cosine function
arctangent function
secant function
first derivative test
chain rule
23. The process by which an antiderivative is calculated
continuous function
circle
relative minimum
integration
24. Having an increasing derivative as the independent variable increases - having a positive second derivative
relative minimum
differentiability
absolute maximum
concave up
25. Either of the endpoints of an interval over which a definite integral is to be evaluated
separable differential equation
secant function
axis of rotation
limit of integration
26. 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
approximation
zero of a function
integrable function
separable differential equation
27. 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
zero of a function
integrand
circle
coefficient
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 left-most point of the sub-interval
cosine function
left-hand sum
sine function
domain
29. The differentiation of an implicit function with respect to the independent variable
absolute maximum
y-axis
rate of change
implicit differentiation
30. The set of all values that can be assumed by the independent variable of a function
domain
natural logarithm
critical value
rate of change
31. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
piecewise-defined function
tangent line
limit
left-hand sum
32. The absolute value or magnitude of velocity
speed
prime notation
inflection point
product rule
33. An indefinite integral. an arbitrary constant '+c' is included
antiderivative
domain
dy/dx (Leibniz notation)
concave down
34. 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
right-hand sum
related rates
normal line
left-hand sum
35. 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
relative maximum
coefficient
continuity on an interval
36. A function that is continuous at every point on the interval
continuity on an interval
left-hand sum
region (in a plane)
indefinite integral
37. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
approximation
inflection point
absolute maximum
middle sum
38. In integrating composite function - either using pattern recognition or change of variables to perform the integration
maximum
integration by substitution
circle
axis of rotation
39. The smallest value of a function for each value of the domain
sine function
integration
minimum
integrable function
40. Having a decreasing derivative as the independent variable increases; having a negative second derivative
x-intercept
instantaneous velocity
cotangent function
concave down
41. The point (0 -0) in the Cartesian coordinate plane
acceleration
origin
differentiability
axis of rotation
42. The y-coordinate of a point where a curve intersects the y-axis
y-intercept
secant line
cross-sectional area
region (in a plane)
43. The number which - when raised to the power of a given logarithm - produces a given number
prime notation
piecewise-defined function
x-axis
base (exponential and logarithmic)
44. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
prime notation
continuity on an interval
amplitude
related rates
45. Any x values where f'(x)=0 or is undefined
critical value
y-intercept
closed interval [a -b]
constant of integration
46. The solid figure generated by revolving a plane region around a line
region (in a plane)
solid of revolution
second derivative
continuity on an interval
47. In an application - maximizing or minimizing some aspect of the system being modeled
optimization
product rule
concave down
middle sum
48. The horizontal axis of the Cartesian coordinate system
region (in a plane)
arctangent function
decreasing on an interval
x-axis
49. A line perpendicular to a tangent line at the point of tangency
amplitude
normal line
domain
velocity
50. The function y=lnx is the inverse of the exponential function y=e^x
position function
antiderivative
natural logarithm
solid of revolution