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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 segment from the center of the circle to a point on the circle
absolute minimum
radius of a circle
y-axis
optimization
2. 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)
radius of a circle
cosine function
definite integral
3. If a function has a well-defined derivative for each element of the domain
secant line
cross-sectional area
first derivative test
differentiability
4. The function that is integrated in an integral
cross-sectional area
x-intercept
secant line
integrand
5. The process of evaluating an indefinite integral
implicit differentiation
closed interval [a -b]
secant function
antidifferentiation
6. Local maximums of minimums of a function
circle
zero of a function
local extrema
implicit differentiation
7. The number which - when raised to the power of a given logarithm - produces a given number
average rate of change
integration
base (exponential and logarithmic)
coefficient
8. Any function closely related to the exponential function - and in particular y=a^x - for any a
exponential function
limit
average rate of change
antiderivative
9. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
critical value
instantaneous rate of change
cosecant function
cross-sectional area
10. A function f that gives the position f(t) of a body on a coordinate axis at time t
increasing on an interval
optimization
position function
slope
11. The vertical axis of the Cartesian coordinate system
product rule
y-axis
y-intercept
cosecant function
12. A point where a function changes concavity; also - where the second derivative changes signs
dy/dx (Leibniz notation)
inflection point
absolute minimum
middle sum
13. f(-x)= -f(x)
secant function
odd function
optimization
continuity at a point
14. The solid figure generated by revolving a plane region around a line
concave down
inflection point
solid of revolution
maximum
15. The reciprocal of the tangent function
extrenum
cotangent function
discontinuity
first derivative test
16. The set of points in a plane that are equidistant from a given point
normal line
circle
prime notation
decreasing on an interval
17. The y-coordinate of a point where a curve intersects the y-axis
continuity at a point
y-intercept
closed interval [a -b]
prime notation
18. 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.
origin
linear approximation
trapezoidal rule
solid of revolution
19. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
local linearization
cosine function
odd function
20. A function has a relative minimum if the derivative changes signs from negative to zero to positive
axis of symmetry
circle
relative minimum
region (in a plane)
21. The ratio x/r with r being the distance of (x -y) from the origin
cosine function
discontinuity
approximation
absolute maximum
22. Any ordered pair (x -y) where f'(x)=0 or is undefined
solid of revolution
y-axis
critical point
prime notation
23. The process by which an antiderivative is calculated
integration
coefficient
trapezoidal rule
secant function
24. A function has a relative maximum if the derivative changes signs from positive to zero to negative
relative maximum
indefinite integral
discontinuity
local extrema
25. A line around which a geometric figure is symmetrical
approximation
right-hand sum
axis of symmetry
integration
26. A function that can be expressed in the form f(x)=mx+b
cosine function
zero of a function
limit
linear function
27. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
concave up
amplitude
absolute maximum
base (exponential and logarithmic)
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
prime notation
implicit differentiation
instantaneous rate of change
velocity
29. 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
middle sum
optimization
trapezoidal rule
30. The limit of f as x approaches c from the right
right-hand limit
limit of integration
y-intercept
maximum
31. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
integrand
local extrema
limit
amplitude
32. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
linear approximation
separable differential equation
radius of a circle
cosine function
33. The reciprocal of the cosine function
local linearization
coefficient
secant function
right-hand sum
34. 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
concave up
tangent function
decreasing on an interval
closed interval [a -b]
35. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
prime notation
implicit differentiation
indefinite integral
extrenum
36. A line around which some body or curve rotates
maximum
related rates
axis of rotation
axis of symmetry
37. The inverse of the cosine function
solid of revolution
velocity
exponential function
arccosine function
38. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
y-intercept
absolute minimum
circle
rate of change
39. The process of finding the derivative of a function
closed interval [a -b]
local linearization
integration
differentiation
40. A function that is defined by applying different formulas to different parts of its domain
piecewise-defined function
secant line
natural logarithm
solid of revolution
41. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
root of an equation
optimization
approximation
sine function
42. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
cotangent function
product rule
limit of integration
odd function
43. The differentiation of an implicit function with respect to the independent variable
optimization
base (exponential and logarithmic)
related rates
implicit differentiation
44. A line perpendicular to a tangent line at the point of tangency
differentiability
continuous function
cross-sectional area
normal line
45. Either of the endpoints of an interval over which a definite integral is to be evaluated
absolute maximum
limit of integration
concave up
product rule
46. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
zero of a function
secant function
right-hand limit
integrable function
47. 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
rate of change
limit
coefficient
first derivative test
48. 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)
constant function
tangent line
extrenum
integrand
49. The set of all values that can be assumed by the independent variable of a function
acceleration
antiderivative
y-intercept
domain
50. The horizontal axis of the Cartesian coordinate system
x-axis
differentiability
instantaneous velocity
chain rule