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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. Slope between two points on a function
decreasing on an interval
average rate of change
first derivative test
continuity at a point
2. In an application - maximizing or minimizing some aspect of the system being modeled
product rule
amplitude
implicit differentiation
optimization
3. The limit of f as x approaches c from the right
right-hand limit
slope
linear approximation
cross-sectional area
4. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
position function
definite integral
closed interval [a -b]
region (in a plane)
5. An arbitrary constant term in the expression of the indefinite integral of a function
constant of integration
domain
absolute minimum
average rate of change
6. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
normal line
x-axis
integrable function
cross-sectional area
7. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
y-axis
absolute maximum
instantaneous rate of change
prime notation
8. The point (0 -0) in the Cartesian coordinate plane
increasing on an interval
origin
trapezoidal rule
absolute minimum
9. The amount of change divided by the time it takes
extrenum
prime notation
absolute maximum
rate of change
10. A segment from the center of the circle to a point on the circle
radius of a circle
odd function
limit
secant function
11. The x-coordinate of the point where a curve intersects the x-axis
amplitude
approximation
differentiability
x-intercept
12. 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)
tangent line
differentiability
y-intercept
approximation
13. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
zero of a function
cotangent function
axis of symmetry
region (in a plane)
14. The process of evaluating an indefinite integral
cosine function
antidifferentiation
right-hand sum
critical value
15. 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
amplitude
closed interval [a -b]
y-intercept
discontinuity
16. The set of all values that can be assumed by the independent variable of a function
domain
instantaneous velocity
axis of rotation
concave up
17. A function that can be expressed in the form f(x)=mx+b
tangent line
second derivative test
y-intercept
linear function
18. A method of obtaining the derivative of a composite function
chain rule
linear approximation
decreasing on an interval
local extrema
19. 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
critical point
arctangent function
position function
first derivative test
20. Having an increasing derivative as the independent variable increases - having a positive second derivative
limit
concave up
instantaneous rate of change
secant function
21. The number which - when raised to the power of a given logarithm - produces a given number
secant function
base (exponential and logarithmic)
extrenum
chain rule
22. In periodic functions - the height of the function at the maximum to the middle line
right-hand limit
relative maximum
decreasing on an interval
amplitude
23. The solid figure generated by revolving a plane region around a line
origin
solid of revolution
base (exponential and logarithmic)
acceleration
24. The absolute value or magnitude of velocity
cosine function
speed
exponential function
linear approximation
25. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
x-intercept
zero of a function
trapezoidal rule
maximum
26. A=x=b
closed interval [a -b]
linear function
cosine function
trapezoidal rule
27. A function such that the following is true
right-hand sum
cosine function
arcsine function
continuous function
28. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
implicit differentiation
tangent function
continuity at a point
absolute minimum
29. A line around which some body or curve rotates
limit of integration
integrand
limit
axis of rotation
30. Local maximums of minimums of a function
local extrema
right-hand limit
y-intercept
antiderivative
31. A function that is continuous at every point on the interval
radius of a circle
antiderivative
differentiation
continuity on an interval
32. 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
exponential function
antidifferentiation
integrable function
coefficient
33. The highest value of a function for each value of the domain
maximum
product rule
discontinuity
indefinite integral
34. A line through two points on the curve
rate of change
instantaneous rate of change
secant line
middle sum
35. The rate of change of position with respect to time
integration by substitution
velocity
continuity on an interval
product rule
36. A function that is defined by applying different formulas to different parts of its domain
trapezoidal rule
continuous function
middle sum
piecewise-defined function
37. The steepness of a line; the ratio of the rise of a line divided by the run of a line between any two points; the tangent of the angle between the direction of a line and the x-axis
implicit differentiation
slope
y-axis
instantaneous velocity
38. The set of points in a plane that are equidistant from a given point
extrenum
instantaneous velocity
minimum
circle
39. Notation used for the first derivative of a function
position function
maximum
axis of rotation
dy/dx (Leibniz notation)
40. Any function closely related to the exponential function - and in particular y=a^x - for any a
integration
exponential function
circle
origin
41. The differentiation of an implicit function with respect to the independent variable
origin
implicit differentiation
velocity
tangent function
42. For all x in [a -b] - f'(x)<0
right-hand limit
continuous function
decreasing on an interval
constant of integration
43. 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
limit of integration
acceleration
continuity on an interval
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
separable differential equation
sine function
cross-sectional area
continuity at a point
45. Either of the endpoints of an interval over which a definite integral is to be evaluated
limit of integration
concave up
velocity
implicit differentiation
46. For all x in [a -b] - f'(x)>0
increasing on an interval
critical value
relative maximum
solid of revolution
47. The rate of change of the velocity with respect to time. the second derivative of a position function
concave down
cosine function
acceleration
inflection point
48. A function has a relative minimum if the derivative changes signs from negative to zero to positive
zero of a function
continuity at a point
middle sum
relative minimum
49. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
tangent function
antiderivative
integration by substitution
product rule
50. The reciprocal of the tangent function
origin
instantaneous rate of change
constant function
cotangent function