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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. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
integration
zero of a function
second derivative
arcsine function
2. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
discontinuity
product rule
optimization
relative maximum
3. A function that is defined by applying different formulas to different parts of its domain
integrable function
cross-sectional area
constant function
piecewise-defined function
4. 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
approximation
velocity
middle sum
linear approximation
5. 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
optimization
trapezoidal rule
region (in a plane)
6. In integrating composite function - either using pattern recognition or change of variables to perform the integration
cosine function
linear approximation
integration by substitution
coefficient
7. A function that can be expressed in the form f(x)=mx+b
dy/dx (Leibniz notation)
origin
linear function
coefficient
8. Any x values where f'(x)=0 or is undefined
trapezoidal rule
local extrema
critical value
speed
9. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
instantaneous rate of change
differentiation
inflection point
definite integral
10. A function has a relative minimum if the derivative changes signs from negative to zero to positive
relative minimum
trapezoidal rule
normal line
continuity on an interval
11. The horizontal axis of the Cartesian coordinate system
base (exponential and logarithmic)
critical point
local extrema
x-axis
12. A function has a relative maximum if the derivative changes signs from positive to zero to negative
relative maximum
arcsine function
amplitude
normal line
13. The rate of change of position with respect to time
velocity
differentiation
region (in a plane)
definite integral
14. A segment from the center of the circle to a point on the circle
amplitude
discontinuity
radius of a circle
cotangent function
15. A line around which a geometric figure is symmetrical
axis of symmetry
left-hand sum
axis of rotation
natural logarithm
16. The x-coordinate of the point where a curve intersects the x-axis
x-intercept
implicit differentiation
rate of change
solid of revolution
17. The limit of f as x approaches c from the right
local linearization
absolute minimum
instantaneous velocity
right-hand limit
18. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute maximum
secant function
inflection point
integrable function
19. An indefinite integral. an arbitrary constant '+c' is included
decreasing on an interval
integrable function
natural logarithm
antiderivative
20. 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
first derivative test
related rates
normal line
inflection point
21. The inverse of the cosine function
acceleration
root of an equation
arccosine function
right-hand sum
22. A line through two points on the curve
inflection point
indefinite integral
region (in a plane)
secant line
23. Either of the endpoints of an interval over which a definite integral is to be evaluated
limit of integration
limit
root of an equation
inflection point
24. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
antidifferentiation
right-hand limit
rate of change
cross-sectional area
25. 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.
second derivative
speed
critical value
trapezoidal rule
26. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
tangent function
critical value
absolute minimum
decreasing on an interval
27. A number which serves as an estimate of a desired number
chain rule
solid of revolution
region (in a plane)
approximation
28. 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
critical value
secant function
instantaneous rate of change
cross-sectional area
29. A function that is continuous on both the left and right side at that point
continuity at a point
absolute maximum
relative maximum
implicit differentiation
30. The inverse of the sine function
differentiability
arcsine function
antiderivative
integrand
31. 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)
differentiation
linear approximation
antidifferentiation
32. 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
antidifferentiation
root of an equation
absolute minimum
circle
33. A function that is a fixed numerical value for all elements of the domain of the function
dy/dx (Leibniz notation)
chain rule
constant function
secant line
34. 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
odd function
integration by substitution
critical point
slope
35. The set of all values that can be assumed by the independent variable of a function
differentiation
cosine function
domain
y-axis
36. A method of obtaining the derivative of a composite function
domain
related rates
limit
chain rule
37. 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.
cotangent function
second derivative test
sine function
natural logarithm
38. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
maximum
linear approximation
continuity on an interval
instantaneous rate of change
39. The smallest value of a function for each value of the domain
minimum
domain
velocity
relative maximum
40. If a function has a well-defined derivative for each element of the domain
y-axis
increasing on an interval
differentiability
second derivative
41. 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
indefinite integral
chain rule
tangent function
concave up
42. The highest value of a function for each value of the domain
implicit differentiation
second derivative
maximum
integrand
43. The process of evaluating an indefinite integral
indefinite integral
right-hand limit
antidifferentiation
radius of a circle
44. The process of finding the derivative of a function
continuity on an interval
differentiation
cross-sectional area
constant of integration
45. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
approximation
arcsine function
local linearization
continuity at a point
46. The ratio x/r with r being the distance of (x -y) from the origin
discontinuity
cosine function
constant of integration
instantaneous velocity
47. A line perpendicular to a tangent line at the point of tangency
arcsine function
critical point
normal line
base (exponential and logarithmic)
48. Any ordered pair (x -y) where f'(x)=0 or is undefined
cotangent function
critical point
speed
linear approximation
49. A function such that the following is true
continuous function
speed
critical value
discontinuity
50. A function that possesses a finite integral; the function must be continuous on the interval of integration
y-axis
domain
extrenum
integrable function