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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 limit of f as x approaches c from the right
relative maximum
right-hand limit
dy/dx (Leibniz notation)
product rule
2. The ratio x/r with r being the distance of (x -y) from the origin
discontinuity
left-hand sum
cosine function
indefinite integral
3. A function such that the following is true
continuous function
related rates
radius of a circle
instantaneous rate of change
4. The smallest value of a function for each value of the domain
local extrema
minimum
region (in a plane)
solid of revolution
5. In integrating composite function - either using pattern recognition or change of variables to perform the integration
integration by substitution
constant of integration
cross-sectional area
antidifferentiation
6. A function that is continuous on both the left and right side at that point
critical value
continuity at a point
position function
continuous function
7. The point (0 -0) in the Cartesian coordinate plane
average rate of change
antidifferentiation
linear approximation
origin
8. An indefinite integral. an arbitrary constant '+c' is included
indefinite integral
zero of a function
antiderivative
normal line
9. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
integration
secant function
cosecant function
absolute minimum
10. A function that possesses a finite integral; the function must be continuous on the interval of integration
relative minimum
instantaneous velocity
zero of a function
integrable function
11. If a function has a well-defined derivative for each element of the domain
natural logarithm
differentiability
x-axis
zero of a function
12. The x-coordinate of the point where a curve intersects the x-axis
relative minimum
x-intercept
cross-sectional area
linear function
13. The inverse of the tangent function
absolute maximum
arctangent function
x-intercept
relative maximum
14. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
circle
constant function
critical value
instantaneous velocity
15. The reciprocal of the cosine function
antiderivative
right-hand sum
secant function
solid of revolution
16. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
linear approximation
cosecant function
radius of a circle
sine function
17. For all x in [a -b] - f'(x)>0
x-axis
sine function
increasing on an interval
limit
18. 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
trapezoidal rule
middle sum
differentiation
solid of revolution
19. The function that is integrated in an integral
axis of rotation
trapezoidal rule
axis of symmetry
integrand
20. Any ordered pair (x -y) where f'(x)=0 or is undefined
secant line
critical point
origin
inflection point
21. 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
y-axis
velocity
cosine function
instantaneous rate of change
22. 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)
root of an equation
tangent line
secant line
constant of integration
23. Notation used for the first derivative of a function
dy/dx (Leibniz notation)
critical value
speed
natural logarithm
24. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
arctangent function
right-hand limit
y-intercept
25. The process of evaluating an indefinite integral
antidifferentiation
average rate of change
y-axis
linear approximation
26. The reciprocal of the sine function
chain rule
zero of a function
cosecant function
prime notation
27. The set of points in a plane that are equidistant from a given point
linear approximation
secant line
differentiability
circle
28. Having a decreasing derivative as the independent variable increases; having a negative second derivative
prime notation
integration by substitution
concave down
extrenum
29. Any function closely related to the exponential function - and in particular y=a^x - for any a
exponential function
natural logarithm
relative minimum
absolute maximum
30. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
integrable function
region (in a plane)
local extrema
limit
31. A point where a function changes concavity; also - where the second derivative changes signs
inflection point
normal line
discontinuity
integration by substitution
32. 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.
local linearization
cosecant function
trapezoidal rule
region (in a plane)
33. For all x in [a -b] - f'(x)<0
decreasing on an interval
discontinuity
closed interval [a -b]
base (exponential and logarithmic)
34. The solid figure generated by revolving a plane region around a line
right-hand limit
critical point
instantaneous rate of change
solid of revolution
35. Having an increasing derivative as the independent variable increases - having a positive second derivative
implicit differentiation
indefinite integral
secant function
concave up
36. 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
approximation
related rates
solid of revolution
instantaneous rate of change
37. A function has a relative maximum if the derivative changes signs from positive to zero to negative
extrenum
optimization
relative maximum
relative minimum
38. A segment from the center of the circle to a point on the circle
position function
arctangent function
radius of a circle
limit
39. A line perpendicular to a tangent line at the point of tangency
optimization
product rule
solid of revolution
normal line
40. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
product rule
differentiability
instantaneous velocity
continuity on an interval
41. The reciprocal of the tangent function
limit
root of an equation
cosecant function
cotangent function
42. A line through two points on the curve
secant line
cotangent function
integrable function
antiderivative
43. The number which - when raised to the power of a given logarithm - produces a given number
antidifferentiation
decreasing on an interval
secant function
base (exponential and logarithmic)
44. The inverse of the cosine function
relative minimum
critical value
cosecant function
arccosine function
45. Either of the endpoints of an interval over which a definite integral is to be evaluated
separable differential equation
linear function
limit of integration
secant function
46. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
tangent line
speed
local linearization
natural logarithm
47. A line around which some body or curve rotates
x-intercept
axis of rotation
integrand
product rule
48. The process by which an antiderivative is calculated
continuity on an interval
first derivative test
integration
origin
49. A method of obtaining the derivative of a composite function
differentiation
antidifferentiation
chain rule
linear function
50. 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)
y-axis
tangent function
local extrema