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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 around which some body or curve rotates
axis of rotation
limit of integration
concave up
solid of revolution
2. The y-coordinate of a point where a curve intersects the y-axis
y-intercept
instantaneous rate of change
y-axis
antiderivative
3. 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
y-intercept
separable differential equation
left-hand sum
middle sum
4. 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.
optimization
trapezoidal rule
secant function
piecewise-defined function
5. A line perpendicular to a tangent line at the point of tangency
normal line
cosecant function
piecewise-defined function
x-intercept
6. An indefinite integral. an arbitrary constant '+c' is included
secant function
zero of a function
limit of integration
antiderivative
7. Any x values where f'(x)=0 or is undefined
indefinite integral
critical value
normal line
antiderivative
8. 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
antidifferentiation
right-hand sum
coefficient
cosine function
9. Any ordered pair (x -y) where f'(x)=0 or is undefined
maximum
absolute maximum
implicit differentiation
critical point
10. A function f that gives the position f(t) of a body on a coordinate axis at time t
linear function
maximum
chain rule
position function
11. The reciprocal of the tangent function
critical point
related rates
cotangent function
instantaneous rate of change
12. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
cosine function
cross-sectional area
sine function
limit of integration
13. If a function has a well-defined derivative for each element of the domain
origin
differentiability
natural logarithm
piecewise-defined function
14. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
local linearization
exponential function
absolute minimum
optimization
15. The highest value of a function for each value of the domain
maximum
cosecant function
y-axis
instantaneous rate of change
16. The x-coordinate of the point where a curve intersects the x-axis
slope
sine function
x-intercept
integration by substitution
17. The ratio x/r with r being the distance of (x -y) from the origin
continuity on an interval
prime notation
cosine function
right-hand limit
18. 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)
optimization
tangent line
related rates
approximation
19. Slope between two points on a function
concave down
integrable function
average rate of change
axis of rotation
20. f(-x)= -f(x)
linear approximation
tangent function
odd function
origin
21. The differentiation of an implicit function with respect to the independent variable
implicit differentiation
absolute maximum
integration by substitution
integrable function
22. A method of obtaining the derivative of a composite function
linear approximation
cross-sectional area
definite integral
chain rule
23. The set of points in a plane that are equidistant from a given point
circle
optimization
middle sum
acceleration
24. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
arccosine function
instantaneous velocity
prime notation
minimum
25. 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
arcsine function
discontinuity
critical point
constant of integration
26. The reciprocal of the sine function
cosecant function
normal line
radius of a circle
solid of revolution
27. The process of evaluating an indefinite integral
middle sum
antidifferentiation
critical value
natural logarithm
28. 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
prime notation
relative maximum
dy/dx (Leibniz notation)
29. The absolute value or magnitude of velocity
speed
chain rule
normal line
arccosine function
30. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
solid of revolution
extrenum
integrable function
definite integral
31. The set of all values that can be assumed by the independent variable of a function
domain
constant function
cross-sectional area
local linearization
32. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
radius of a circle
limit
instantaneous velocity
odd function
33. The number which - when raised to the power of a given logarithm - produces a given number
integration
y-axis
arccosine function
base (exponential and logarithmic)
34. The inverse of the tangent function
maximum
x-axis
arctangent function
antiderivative
35. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
normal line
radius of a circle
absolute maximum
slope
36. An arbitrary constant term in the expression of the indefinite integral of a function
tangent function
constant of integration
continuity on an interval
right-hand limit
37. A function that is a fixed numerical value for all elements of the domain of the function
tangent function
tangent line
constant function
linear approximation
38. The inverse of the cosine function
instantaneous rate of change
arccosine function
approximation
separable differential equation
39. For all x in [a -b] - f'(x)>0
increasing on an interval
limit
continuity on an interval
maximum
40. 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
cosecant function
slope
limit
maximum
41. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
acceleration
local linearization
natural logarithm
y-intercept
42. For all x in [a -b] - f'(x)<0
decreasing on an interval
continuity on an interval
tangent function
arcsine function
43. 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.
differentiation
second derivative test
cosine function
relative maximum
44. 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
right-hand limit
critical value
coefficient
radius of a circle
45. Having an increasing derivative as the independent variable increases - having a positive second derivative
concave up
right-hand limit
concave down
relative minimum
46. 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
root of an equation
y-axis
second derivative
right-hand sum
47. A function has a relative maximum if the derivative changes signs from positive to zero to negative
absolute maximum
first derivative test
relative maximum
right-hand sum
48. 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
prime notation
tangent function
amplitude
49. The function y=lnx is the inverse of the exponential function y=e^x
natural logarithm
root of an equation
axis of symmetry
region (in a plane)
50. The local and global maximums and minumums of a function
integration by substitution
origin
base (exponential and logarithmic)
extrenum