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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 function such that the following is true
piecewise-defined function
continuous function
absolute maximum
amplitude
2. The smallest value of a function for each value of the domain
minimum
antiderivative
product rule
cosine function
3. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
linear approximation
product rule
critical point
absolute maximum
4. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
product rule
secant line
amplitude
local linearization
5. 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
instantaneous rate of change
cotangent function
left-hand sum
root of an equation
6. Local maximums of minimums of a function
integrable function
radius of a circle
chain rule
local extrema
7. A segment from the center of the circle to a point on the circle
indefinite integral
odd function
solid of revolution
radius of a circle
8. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
relative maximum
natural logarithm
local linearization
cross-sectional area
9. A line perpendicular to a tangent line at the point of tangency
continuity at a point
normal line
limit
piecewise-defined function
10. An arbitrary constant term in the expression of the indefinite integral of a function
constant of integration
integration
solid of revolution
concave down
11. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
odd function
differentiation
absolute maximum
definite integral
12. The solid figure generated by revolving a plane region around a line
solid of revolution
extrenum
optimization
instantaneous rate of change
13. A function f that gives the position f(t) of a body on a coordinate axis at time t
limit
antidifferentiation
domain
position function
14. A=x=b
closed interval [a -b]
local extrema
continuous function
extrenum
15. Any x values where f'(x)=0 or is undefined
critical value
definite integral
average rate of change
absolute minimum
16. The process by which an antiderivative is calculated
integration
root of an equation
inflection point
closed interval [a -b]
17. A function has a relative minimum if the derivative changes signs from negative to zero to positive
x-axis
origin
normal line
relative minimum
18. The amount of change divided by the time it takes
rate of change
constant function
prime notation
middle sum
19. The inverse of the tangent function
arctangent function
velocity
constant of integration
origin
20. 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
absolute maximum
coefficient
implicit differentiation
limit
21. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
cotangent function
second derivative
absolute minimum
linear approximation
22. 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
base (exponential and logarithmic)
arcsine function
odd function
23. 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
domain
tangent function
integrable function
zero of a function
24. The ratio x/r with r being the distance of (x -y) from the origin
critical value
minimum
cosine function
increasing on an interval
25. The inverse of the cosine function
arccosine function
integrand
concave down
indefinite integral
26. The reciprocal of the tangent function
coefficient
y-axis
integrand
cotangent function
27. A function that is a fixed numerical value for all elements of the domain of the function
constant function
antiderivative
continuity at a point
second derivative
28. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
constant of integration
arcsine function
indefinite integral
root of an equation
29. The x-coordinate of the point where a curve intersects the x-axis
extrenum
normal line
x-intercept
critical point
30. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
continuous function
separable differential equation
integrand
absolute minimum
31. The absolute value or magnitude of velocity
limit
radius of a circle
maximum
speed
32. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
arctangent function
tangent function
odd function
zero of a function
33. A line around which some body or curve rotates
axis of rotation
radius of a circle
continuity on an interval
left-hand sum
34. The vertical axis of the Cartesian coordinate system
right-hand sum
left-hand sum
limit of integration
y-axis
35. 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
limit of integration
origin
left-hand sum
antiderivative
36. The rate of change of a function occurring at or associated with a given instant - or as a limit as a time interval approaches zero; the derivative
linear approximation
secant line
instantaneous rate of change
rate of change
37. The horizontal axis of the Cartesian coordinate system
x-axis
differentiation
instantaneous rate of change
y-intercept
38. The inverse of the sine function
continuity at a point
arcsine function
slope
chain rule
39. A line around which a geometric figure is symmetrical
implicit differentiation
second derivative test
base (exponential and logarithmic)
axis of symmetry
40. 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
slope
linear approximation
antiderivative
41. 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
instantaneous rate of change
critical value
critical point
42. Having an increasing derivative as the independent variable increases - having a positive second derivative
concave up
continuous function
coefficient
antidifferentiation
43. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
continuity at a point
tangent line
limit
solid of revolution
44. 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.
trapezoidal rule
indefinite integral
integration
secant function
45. A method of obtaining the derivative of a composite function
chain rule
relative maximum
axis of symmetry
linear approximation
46. A function that is continuous at every point on the interval
continuous function
chain rule
critical point
continuity on an interval
47. The set of points in a plane that are equidistant from a given point
circle
axis of symmetry
coefficient
zero of a function
48. The local and global maximums and minumums of a function
arccosine function
extrenum
instantaneous velocity
sine function
49. A function that can be expressed in the form f(x)=mx+b
antiderivative
linear function
natural logarithm
related rates
50. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
separable differential equation
average rate of change
normal line
local linearization
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