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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 trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
chain rule
region (in a plane)
sine function
y-axis
2. The vertical axis of the Cartesian coordinate system
chain rule
continuity on an interval
y-axis
increasing on an interval
3. The absolute value or magnitude of velocity
extrenum
speed
related rates
inflection point
4. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
y-intercept
prime notation
differentiability
relative minimum
5. A function that possesses a finite integral; the function must be continuous on the interval of integration
maximum
radius of a circle
integration
integrable function
6. 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
related rates
odd function
region (in a plane)
local extrema
7. Local maximums of minimums of a function
axis of rotation
odd function
region (in a plane)
local extrema
8. In integrating composite function - either using pattern recognition or change of variables to perform the integration
separable differential equation
concave down
integration by substitution
acceleration
9. For all x in [a -b] - f'(x)>0
right-hand sum
x-axis
increasing on an interval
velocity
10. Any function closely related to the exponential function - and in particular y=a^x - for any a
cotangent function
sine function
differentiation
exponential function
11. The derivative of the first derivative
instantaneous rate of change
arctangent function
cosine function
second derivative
12. A function that is continuous on both the left and right side at that point
second derivative test
continuity at a point
secant function
relative minimum
13. An indefinite integral. an arbitrary constant '+c' is included
critical value
antiderivative
indefinite integral
instantaneous velocity
14. The reciprocal of the tangent function
antidifferentiation
extrenum
cotangent function
continuity on an interval
15. The solid figure generated by revolving a plane region around a line
extrenum
solid of revolution
instantaneous rate of change
y-intercept
16. For all x in [a -b] - f'(x)<0
origin
arccosine function
concave up
decreasing on an interval
17. A line perpendicular to a tangent line at the point of tangency
secant function
position function
amplitude
normal line
18. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
absolute maximum
instantaneous rate of change
linear approximation
cosecant function
19. A function f that gives the position f(t) of a body on a coordinate axis at time t
circle
limit
speed
position function
20. 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
approximation
related rates
integrand
first derivative test
21. A=x=b
normal line
odd function
continuity at a point
closed interval [a -b]
22. 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
integrable function
slope
local extrema
middle sum
23. A function such that the following is true
instantaneous rate of change
continuous function
critical point
x-intercept
24. The highest value of a function for each value of the domain
rate of change
maximum
linear approximation
axis of symmetry
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.
tangent function
secant line
second derivative
trapezoidal rule
26. A point where a function changes concavity; also - where the second derivative changes signs
circle
antiderivative
inflection point
chain rule
27. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
differentiability
right-hand sum
indefinite integral
left-hand sum
28. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
amplitude
origin
region (in a plane)
product rule
29. The reciprocal of the cosine function
secant function
integration by substitution
y-intercept
speed
30. The local and global maximums and minumums of a function
extrenum
middle sum
antiderivative
tangent function
31. The ratio x/r with r being the distance of (x -y) from the origin
related rates
axis of rotation
cross-sectional area
cosine function
32. The function that is integrated in an integral
circle
limit of integration
acceleration
integrand
33. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
first derivative test
local linearization
coefficient
arccosine function
34. The x-coordinate of the point where a curve intersects the x-axis
odd function
approximation
x-intercept
x-axis
35. An arbitrary constant term in the expression of the indefinite integral of a function
constant of integration
domain
closed interval [a -b]
extrenum
36. The differentiation of an implicit function with respect to the independent variable
implicit differentiation
continuity on an interval
related rates
tangent line
37. A line around which some body or curve rotates
axis of rotation
second derivative
constant of integration
natural logarithm
38. A function has a relative minimum if the derivative changes signs from negative to zero to positive
absolute minimum
tangent line
region (in a plane)
relative minimum
39. A line around which a geometric figure is symmetrical
trapezoidal rule
axis of symmetry
slope
circle
40. The limit of f as x approaches c from the right
tangent function
right-hand limit
tangent line
speed
41. f(-x)= -f(x)
product rule
odd function
radius of a circle
increasing on an interval
42. A function that is defined by applying different formulas to different parts of its domain
relative maximum
acceleration
constant function
piecewise-defined function
43. Either of the endpoints of an interval over which a definite integral is to be evaluated
differentiation
integrable function
speed
limit of integration
44. 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
arctangent function
tangent line
separable differential equation
origin
45. The smallest value of a function for each value of the domain
y-intercept
minimum
coefficient
prime notation
46. The set of points in a plane that are equidistant from a given point
cotangent function
circle
local linearization
second derivative test
47. A number which serves as an estimate of a desired number
increasing on an interval
integrand
approximation
cotangent function
48. A function has a relative maximum if the derivative changes signs from positive to zero to negative
concave up
relative minimum
optimization
relative maximum
49. A segment from the center of the circle to a point on the circle
radius of a circle
coefficient
odd function
limit
50. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
piecewise-defined function
radius of a circle
x-axis