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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
radius of a circle
limit
instantaneous velocity
closed interval [a -b]
2. A line around which some body or curve rotates
odd function
axis of rotation
local extrema
separable differential equation
3. The x-coordinate of the point where a curve intersects the x-axis
x-intercept
trapezoidal rule
approximation
continuity at a point
4. The set of points in a plane that are equidistant from a given point
circle
tangent function
zero of a function
cross-sectional area
5. The point (0 -0) in the Cartesian coordinate plane
sine function
origin
axis of rotation
y-intercept
6. The inverse of the tangent function
arctangent function
product rule
average rate of change
arcsine function
7. The reciprocal of the tangent function
cotangent function
critical point
second derivative
maximum
8. A method of obtaining the derivative of a composite function
x-axis
natural logarithm
second derivative test
chain rule
9. The amount of change divided by the time it takes
axis of rotation
second derivative
sine function
rate of change
10. The number which - when raised to the power of a given logarithm - produces a given number
base (exponential and logarithmic)
differentiation
y-intercept
velocity
11. The absolute value or magnitude of velocity
x-axis
second derivative
speed
tangent line
12. The vertical axis of the Cartesian coordinate system
velocity
y-axis
relative maximum
region (in a plane)
13. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
slope
tangent line
indefinite integral
critical point
14. The rate of change of the velocity with respect to time. the second derivative of a position function
secant function
acceleration
limit of integration
concave down
15. Either of the endpoints of an interval over which a definite integral is to be evaluated
tangent function
instantaneous velocity
average rate of change
limit of integration
16. f(-x)= -f(x)
odd function
cotangent function
y-intercept
axis of symmetry
17. Having an increasing derivative as the independent variable increases - having a positive second derivative
concave up
region (in a plane)
middle sum
chain rule
18. A function that is continuous on both the left and right side at that point
integrable function
radius of a circle
definite integral
continuity at a point
19. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
absolute maximum
indefinite integral
antidifferentiation
product rule
20. The ratio x/r with r being the distance of (x -y) from the origin
local extrema
speed
separable differential equation
cosine function
21. The function y=lnx is the inverse of the exponential function y=e^x
natural logarithm
continuous function
region (in a plane)
cosine function
22. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
limit
chain rule
integrable function
root of an equation
23. The set of all values that can be assumed by the independent variable of a function
local linearization
dy/dx (Leibniz notation)
domain
linear function
24. 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)
right-hand sum
tangent line
differentiation
piecewise-defined function
25. If a function has a well-defined derivative for each element of the domain
limit
first derivative test
differentiability
local extrema
26. A function has a relative minimum if the derivative changes signs from negative to zero to positive
relative minimum
arctangent function
axis of rotation
y-axis
27. 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
exponential function
concave up
discontinuity
coefficient
28. A function that possesses a finite integral; the function must be continuous on the interval of integration
separable differential equation
middle sum
odd function
integrable function
29. The differentiation of an implicit function with respect to the independent variable
tangent line
differentiability
slope
implicit differentiation
30. The smallest value of a function for each value of the domain
absolute maximum
minimum
instantaneous velocity
second derivative
31. A function such that the following is true
constant function
closed interval [a -b]
continuous function
middle sum
32. The limit of f as x approaches c from the right
prime notation
right-hand limit
domain
instantaneous rate of change
33. The highest value of a function for each value of the domain
natural logarithm
local extrema
right-hand sum
maximum
34. A function that is defined by applying different formulas to different parts of its domain
piecewise-defined function
y-axis
differentiation
solid of revolution
35. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
instantaneous velocity
related rates
chain rule
differentiation
36. The solid figure generated by revolving a plane region around a line
solid of revolution
chain rule
limit of integration
tangent function
37. For all x in [a -b] - f'(x)<0
separable differential equation
differentiability
axis of symmetry
decreasing on an interval
38. 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
y-intercept
separable differential equation
base (exponential and logarithmic)
relative maximum
39. A point where a function changes concavity; also - where the second derivative changes signs
acceleration
first derivative test
inflection point
critical point
40. Any ordered pair (x -y) where f'(x)=0 or is undefined
decreasing on an interval
piecewise-defined function
critical point
instantaneous velocity
41. A line perpendicular to a tangent line at the point of tangency
base (exponential and logarithmic)
normal line
region (in a plane)
optimization
42. Slope between two points on a function
implicit differentiation
average rate of change
piecewise-defined function
root of an equation
43. A function that is continuous at every point on the interval
tangent line
continuity on an interval
x-axis
continuous function
44. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
cross-sectional area
differentiation
integration
axis of rotation
45. The process of finding the derivative of a function
radius of a circle
differentiation
linear function
constant of integration
46. The rate of change of position with respect to time
increasing on an interval
velocity
average rate of change
odd function
47. The reciprocal of the sine function
right-hand limit
second derivative test
cosecant function
absolute minimum
48. 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
integration
indefinite integral
product rule
related rates
49. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
integrable function
prime notation
tangent function
x-axis
50. 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
cross-sectional area
y-axis
middle sum
optimization