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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. Having a decreasing derivative as the independent variable increases; having a negative second derivative
concave down
y-axis
product rule
local extrema
2. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
indefinite integral
continuity on an interval
absolute maximum
region (in a plane)
3. The rate of change of the velocity with respect to time. the second derivative of a position function
normal line
critical value
slope
acceleration
4. A line around which some body or curve rotates
velocity
region (in a plane)
piecewise-defined function
axis of rotation
5. A function that possesses a finite integral; the function must be continuous on the interval of integration
first derivative test
increasing on an interval
integrable function
arctangent function
6. 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 right-most point of the sub-interval
root of an equation
axis of rotation
right-hand sum
position function
7. A function that can be expressed in the form f(x)=mx+b
arccosine function
second derivative test
linear function
limit
8. Having an increasing derivative as the independent variable increases - having a positive second derivative
extrenum
x-intercept
region (in a plane)
concave up
9. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
x-intercept
zero of a function
second derivative
cross-sectional area
10. Any function closely related to the exponential function - and in particular y=a^x - for any a
definite integral
antiderivative
exponential function
right-hand limit
11. In an application - maximizing or minimizing some aspect of the system being modeled
antidifferentiation
implicit differentiation
optimization
discontinuity
12. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
cross-sectional area
region (in a plane)
local extrema
definite integral
13. The process by which an antiderivative is calculated
sine function
axis of symmetry
integration
arccosine function
14. The inverse of the tangent function
arctangent function
tangent function
chain rule
linear function
15. The smallest value of a function for each value of the domain
normal line
odd function
minimum
tangent function
16. The function y=lnx is the inverse of the exponential function y=e^x
natural logarithm
extrenum
second derivative test
left-hand sum
17. The highest value of a function for each value of the domain
maximum
integration by substitution
circle
coefficient
18. The local and global maximums and minumums of a function
limit
velocity
instantaneous velocity
extrenum
19. Any x values where f'(x)=0 or is undefined
integration
y-intercept
speed
critical value
20. The reciprocal of the tangent function
inflection point
cotangent function
relative minimum
constant function
21. A=x=b
approximation
solid of revolution
closed interval [a -b]
integrable function
22. The set of points in a plane that are equidistant from a given point
speed
secant function
circle
decreasing on an interval
23. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
relative maximum
base (exponential and logarithmic)
region (in a plane)
maximum
24. The function that is integrated in an integral
rate of change
differentiability
position function
integrand
25. An indefinite integral. an arbitrary constant '+c' is included
discontinuity
increasing on an interval
antiderivative
first derivative test
26. 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
related rates
slope
discontinuity
concave up
27. The x-coordinate of the point where a curve intersects the x-axis
maximum
x-intercept
root of an equation
arccosine function
28. A line perpendicular to a tangent line at the point of tangency
absolute minimum
acceleration
normal line
absolute maximum
29. Slope between two points on a function
extrenum
antidifferentiation
middle sum
average rate of change
30. The derivative of the first derivative
concave down
second derivative
critical point
axis of symmetry
31. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
sine function
tangent line
prime notation
minimum
32. A line around which a geometric figure is symmetrical
axis of symmetry
constant of integration
piecewise-defined function
limit of integration
33. A method of obtaining the derivative of a composite function
chain rule
absolute maximum
continuity at a point
relative maximum
34. For all x in [a -b] - f'(x)>0
increasing on an interval
local linearization
approximation
trapezoidal rule
35. 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
acceleration
secant function
implicit differentiation
coefficient
36. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
constant of integration
antidifferentiation
indefinite integral
origin
37. A function that is a fixed numerical value for all elements of the domain of the function
closed interval [a -b]
approximation
arccosine function
constant function
38. Either of the endpoints of an interval over which a definite integral is to be evaluated
velocity
absolute maximum
limit of integration
antiderivative
39. 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
prime notation
secant line
trapezoidal rule
discontinuity
40. A function that is continuous on both the left and right side at that point
integrable function
relative maximum
continuity at a point
concave up
41. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
integration by substitution
absolute minimum
integration
chain rule
42. The differentiation of an implicit function with respect to the independent variable
dy/dx (Leibniz notation)
extrenum
indefinite integral
implicit differentiation
43. The number which - when raised to the power of a given logarithm - produces a given number
x-intercept
base (exponential and logarithmic)
critical value
arccosine function
44. The process of finding the derivative of a function
x-intercept
differentiation
slope
limit
45. If f'(c)=0 and f''(c)>0 - then f has a local maximum at x=c. if f'(c)=0 and f''(c)<0 - then f has a local minimum at x=c.
sine function
second derivative test
amplitude
position function
46. 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
antiderivative
continuity on an interval
absolute minimum
47. A function has a relative minimum if the derivative changes signs from negative to zero to positive
domain
x-axis
relative minimum
decreasing on an interval
48. An arbitrary constant term in the expression of the indefinite integral of a function
constant of integration
y-axis
exponential function
approximation
49. The limit of f as x approaches c from the right
average rate of change
integration
cosecant function
right-hand limit
50. 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
arccosine function
relative minimum
piecewise-defined function
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