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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 perpendicular to a tangent line at the point of tangency
cotangent function
relative minimum
arcsine function
normal line
2. A function that possesses a finite integral; the function must be continuous on the interval of integration
trapezoidal rule
rate of change
integrable function
average rate of change
3. In integrating composite function - either using pattern recognition or change of variables to perform the integration
optimization
integration by substitution
exponential function
related rates
4. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
indefinite integral
optimization
approximation
continuity on an interval
5. Having a decreasing derivative as the independent variable increases; having a negative second derivative
right-hand limit
x-axis
concave down
differentiability
6. f(-x)= -f(x)
linear approximation
cotangent function
odd function
relative maximum
7. 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)
linear approximation
tangent line
position function
increasing on an interval
8. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
axis of symmetry
constant of integration
critical point
prime notation
9. A method of obtaining the derivative of a composite function
right-hand limit
chain rule
constant function
piecewise-defined function
10. A segment from the center of the circle to a point on the circle
speed
definite integral
radius of a circle
arctangent function
11. The amount of change divided by the time it takes
x-axis
related rates
relative minimum
rate of change
12. A multiplicative factor in some term of an expression (or of a series); it is usually a number - but in any case does not involve any variables of the expression
prime notation
limit
slope
coefficient
13. The inverse of the sine function
arcsine function
approximation
acceleration
second derivative test
14. Local maximums of minimums of a function
local extrema
linear function
radius of a circle
cosine function
15. Slope between two points on a function
integrand
linear approximation
average rate of change
zero of a function
16. A line around which some body or curve rotates
optimization
arctangent function
axis of rotation
second derivative
17. The set of points in a plane that are equidistant from a given point
rate of change
domain
circle
limit of integration
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 left-most point of the sub-interval
decreasing on an interval
inflection point
limit of integration
left-hand sum
19. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
optimization
circle
related rates
absolute maximum
20. Notation used for the first derivative of a function
dy/dx (Leibniz notation)
approximation
implicit differentiation
prime notation
21. 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
trapezoidal rule
first derivative test
radius of a circle
second derivative test
22. The horizontal axis of the Cartesian coordinate system
x-axis
first derivative test
slope
cosine function
23. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
second derivative
integration by substitution
position function
24. A function that is a fixed numerical value for all elements of the domain of the function
y-axis
local linearization
tangent line
constant function
25. An indefinite integral. an arbitrary constant '+c' is included
separable differential equation
concave up
arcsine function
antiderivative
26. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
arctangent function
extrenum
sine function
right-hand sum
27. For all x in [a -b] - f'(x)<0
local linearization
decreasing on an interval
absolute minimum
local extrema
28. The x-coordinate of the point where a curve intersects the x-axis
tangent function
x-intercept
continuity on an interval
separable differential equation
29. The limit of f as x approaches c from the right
solid of revolution
right-hand limit
absolute minimum
antidifferentiation
30. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
second derivative
region (in a plane)
circle
acceleration
31. The derivative of the first derivative
antidifferentiation
first derivative test
second derivative
extrenum
32. A number which serves as an estimate of a desired number
instantaneous rate of change
limit
concave up
approximation
33. The smallest value of a function for each value of the domain
acceleration
definite integral
increasing on an interval
minimum
34. In an application - maximizing or minimizing some aspect of the system being modeled
zero of a function
optimization
instantaneous velocity
second derivative
35. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
constant function
local linearization
antiderivative
middle sum
36. The y-coordinate of a point where a curve intersects the y-axis
y-intercept
limit of integration
implicit differentiation
tangent line
37. 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
tangent function
normal line
instantaneous rate of change
trapezoidal rule
38. In periodic functions - the height of the function at the maximum to the middle line
axis of rotation
amplitude
relative maximum
right-hand limit
39. A line around which a geometric figure is symmetrical
axis of symmetry
second derivative test
antiderivative
secant line
40. The inverse of the cosine function
cross-sectional area
y-axis
arccosine function
minimum
41. The ratio x/r with r being the distance of (x -y) from the origin
critical point
speed
cosine function
trapezoidal rule
42. 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
integration
discontinuity
exponential function
antidifferentiation
43. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
cosecant function
limit
differentiation
sine function
44. A function that is defined by applying different formulas to different parts of its domain
continuity on an interval
solid of revolution
piecewise-defined function
middle sum
45. An arbitrary constant term in the expression of the indefinite integral of a function
secant line
constant of integration
critical value
acceleration
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.
root of an equation
approximation
trapezoidal rule
zero of a function
47. The number which - when raised to the power of a given logarithm - produces a given number
linear approximation
position function
piecewise-defined function
base (exponential and logarithmic)
48. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
speed
x-intercept
minimum
instantaneous velocity
49. The reciprocal of the cosine function
radius of a circle
secant function
inflection point
continuity on an interval
50. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
related rates
product rule
chain rule
tangent function