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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 line around which some body or curve rotates
piecewise-defined function
sine function
right-hand sum
axis of rotation
2. The function y=lnx is the inverse of the exponential function y=e^x
right-hand sum
linear approximation
optimization
natural logarithm
3. The absolute value or magnitude of velocity
cotangent function
increasing on an interval
continuity at a point
speed
4. 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.
linear function
piecewise-defined function
implicit differentiation
second derivative test
5. The process of evaluating an indefinite integral
antidifferentiation
natural logarithm
middle sum
domain
6. f(-x)= -f(x)
chain rule
base (exponential and logarithmic)
odd function
arcsine function
7. 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
root of an equation
odd function
speed
left-hand sum
8. 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
axis of symmetry
instantaneous rate of change
discontinuity
tangent function
9. Any ordered pair (x -y) where f'(x)=0 or is undefined
minimum
position function
right-hand sum
critical point
10. A function that is continuous at every point on the interval
continuity on an interval
local extrema
instantaneous rate of change
critical value
11. The differentiation of an implicit function with respect to the independent variable
implicit differentiation
closed interval [a -b]
x-axis
critical point
12. In an application - maximizing or minimizing some aspect of the system being modeled
y-axis
decreasing on an interval
critical point
optimization
13. For all x in [a -b] - f'(x)>0
increasing on an interval
continuity on an interval
natural logarithm
axis of symmetry
14. A function that possesses a finite integral; the function must be continuous on the interval of integration
minimum
cosine function
cross-sectional area
integrable function
15. Any x values where f'(x)=0 or is undefined
maximum
critical value
y-axis
x-intercept
16. 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
first derivative test
constant of integration
arcsine function
tangent line
17. A point where a function changes concavity; also - where the second derivative changes signs
inflection point
discontinuity
definite integral
arccosine function
18. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
secant line
left-hand sum
region (in a plane)
inflection point
19. A line around which a geometric figure is symmetrical
continuity on an interval
constant of integration
second derivative test
axis of symmetry
20. Any function closely related to the exponential function - and in particular y=a^x - for any a
exponential function
left-hand sum
piecewise-defined function
critical point
21. The set of points in a plane that are equidistant from a given point
instantaneous rate of change
solid of revolution
circle
normal line
22. A function that is defined by applying different formulas to different parts of its domain
left-hand sum
instantaneous rate of change
piecewise-defined function
concave up
23. A segment from the center of the circle to a point on the circle
x-axis
right-hand sum
speed
radius of a circle
24. A function f that gives the position f(t) of a body on a coordinate axis at time t
local linearization
arctangent function
antiderivative
position function
25. The horizontal axis of the Cartesian coordinate system
chain rule
x-axis
maximum
separable differential equation
26. A function that is continuous on both the left and right side at that point
velocity
continuity at a point
rate of change
slope
27. A=x=b
cosecant function
absolute maximum
closed interval [a -b]
integration
28. A method of obtaining the derivative of a composite function
chain rule
cosecant function
arcsine function
decreasing on an interval
29. Slope between two points on a function
secant function
axis of symmetry
integration by substitution
average rate of change
30. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
continuity on an interval
indefinite integral
extrenum
antidifferentiation
31. The limit of f as x approaches c from the right
zero of a function
cosine function
separable differential equation
right-hand limit
32. The point (0 -0) in the Cartesian coordinate plane
separable differential equation
second derivative
origin
second derivative test
33. A function has a relative minimum if the derivative changes signs from negative to zero to positive
circle
slope
inflection point
relative minimum
34. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
integrable function
limit
differentiability
exponential function
35. An indefinite integral. an arbitrary constant '+c' is included
integrand
concave down
antiderivative
absolute maximum
36. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
prime notation
local linearization
left-hand sum
normal line
37. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
natural logarithm
limit
cross-sectional area
indefinite integral
38. The reciprocal of the sine function
cosecant function
concave up
y-intercept
integrand
39. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
acceleration
relative minimum
y-axis
sine function
40. A number which serves as an estimate of a desired number
approximation
y-axis
instantaneous rate of change
absolute maximum
41. An arbitrary constant term in the expression of the indefinite integral of a function
prime notation
constant of integration
relative minimum
arcsine function
42. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute minimum
absolute maximum
acceleration
extrenum
43. A line perpendicular to a tangent line at the point of tangency
middle sum
normal line
x-axis
domain
44. The reciprocal of the tangent function
radius of a circle
cotangent function
axis of rotation
domain
45. The function that is integrated in an integral
concave up
y-axis
zero of a function
integrand
46. 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.
amplitude
trapezoidal rule
local extrema
constant function
47. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
first derivative test
prime notation
right-hand limit
decreasing on an interval
48. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
optimization
instantaneous velocity
instantaneous rate of change
definite integral
49. In integrating composite function - either using pattern recognition or change of variables to perform the integration
integration by substitution
second derivative test
minimum
left-hand sum
50. For all x in [a -b] - f'(x)<0
velocity
concave up
decreasing on an interval
arcsine function