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Test your basic knowledge |
AP Calculus Vocab
Start Test
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Subjects
:
math
,
ap
,
calculus
Instructions:
Answer 50 questions in 15 minutes.
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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 has a relative maximum if the derivative changes signs from positive to zero to negative
rate of change
root of an equation
y-axis
relative maximum
2. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
odd function
x-intercept
limit
cross-sectional area
3. 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
root of an equation
related rates
relative maximum
base (exponential and logarithmic)
4. 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
separable differential equation
left-hand sum
local extrema
axis of rotation
5. A=x=b
linear approximation
local extrema
optimization
closed interval [a -b]
6. A function that is continuous on both the left and right side at that point
absolute maximum
zero of a function
critical point
continuity at a point
7. The inverse of the cosine function
arccosine function
linear function
decreasing on an interval
integration
8. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
zero of a function
relative minimum
integrand
approximation
9. An indefinite integral. an arbitrary constant '+c' is included
average rate of change
antiderivative
limit of integration
origin
10. The function y=lnx is the inverse of the exponential function y=e^x
odd function
natural logarithm
approximation
chain rule
11. A point where a function changes concavity; also - where the second derivative changes signs
inflection point
integration by substitution
chain rule
secant line
12. 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
speed
instantaneous rate of change
secant line
related rates
13. A number which serves as an estimate of a desired number
linear approximation
approximation
chain rule
relative maximum
14. The rate of change of the velocity with respect to time. the second derivative of a position function
absolute minimum
root of an equation
acceleration
instantaneous velocity
15. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
constant of integration
decreasing on an interval
arcsine function
indefinite integral
16. A function that can be expressed in the form f(x)=mx+b
chain rule
discontinuity
right-hand limit
linear function
17. An arbitrary constant term in the expression of the indefinite integral of a function
constant of integration
acceleration
x-axis
definite integral
18. Notation used for the first derivative of a function
linear approximation
relative maximum
dy/dx (Leibniz notation)
speed
19. 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)
minimum
differentiation
tangent line
piecewise-defined function
20. The number which - when raised to the power of a given logarithm - produces a given number
discontinuity
local extrema
axis of rotation
base (exponential and logarithmic)
21. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
root of an equation
left-hand sum
local linearization
definite integral
22. 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
related rates
x-axis
discontinuity
odd function
23. 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
middle sum
increasing on an interval
natural logarithm
odd function
24. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
dy/dx (Leibniz notation)
slope
maximum
prime notation
25. The ratio x/r with r being the distance of (x -y) from the origin
cosecant function
slope
antidifferentiation
cosine function
26. Local maximums of minimums of a function
right-hand sum
local extrema
arcsine function
piecewise-defined function
27. Any function closely related to the exponential function - and in particular y=a^x - for any a
left-hand sum
antiderivative
exponential function
integrable function
28. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
approximation
rate of change
tangent function
29. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
velocity
instantaneous velocity
right-hand sum
axis of rotation
30. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
antiderivative
arcsine function
limit
cross-sectional area
31. A line perpendicular to a tangent line at the point of tangency
normal line
second derivative test
concave up
inflection point
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
coefficient
cosine function
average rate of change
sine function
33. A line around which some body or curve rotates
domain
local linearization
axis of rotation
inflection point
34. Any x values where f'(x)=0 or is undefined
maximum
optimization
critical value
amplitude
35. The inverse of the tangent function
critical value
natural logarithm
arctangent function
concave down
36. The y-coordinate of a point where a curve intersects the y-axis
y-intercept
integrand
middle sum
approximation
37. A line around which a geometric figure is symmetrical
arctangent function
axis of symmetry
antiderivative
cotangent function
38. A line through two points on the curve
separable differential equation
instantaneous rate of change
secant line
implicit differentiation
39. The differentiation of an implicit function with respect to the independent variable
implicit differentiation
indefinite integral
velocity
right-hand sum
40. The amount of change divided by the time it takes
separable differential equation
rate of change
local extrema
maximum
41. In integrating composite function - either using pattern recognition or change of variables to perform the integration
right-hand limit
solid of revolution
maximum
integration by substitution
42. The process by which an antiderivative is calculated
integrable function
secant line
integration
absolute minimum
43. The absolute value or magnitude of velocity
y-axis
continuity on an interval
cosine function
speed
44. 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
integration by substitution
linear function
sine function
root of an equation
45. Having an increasing derivative as the independent variable increases - having a positive second derivative
average rate of change
concave up
circle
limit of integration
46. Slope between two points on a function
inflection point
average rate of change
origin
secant line
47. f(-x)= -f(x)
piecewise-defined function
continuous function
odd function
cosecant function
48. The set of all values that can be assumed by the independent variable of a function
domain
tangent line
cross-sectional area
minimum
49. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
integrand
absolute maximum
relative minimum
trapezoidal rule
50. A function that is defined by applying different formulas to different parts of its domain
cotangent function
linear approximation
increasing on an interval
piecewise-defined function
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