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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. The reciprocal of the tangent function
integration
local linearization
discontinuity
cotangent function
2. 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
axis of rotation
root of an equation
related rates
limit
3. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
x-intercept
sine function
trapezoidal rule
constant of integration
4. A function that is continuous on both the left and right side at that point
trapezoidal rule
sine function
continuity at a point
antiderivative
5. The point (0 -0) in the Cartesian coordinate plane
origin
left-hand sum
trapezoidal rule
inflection point
6. For all x in [a -b] - f'(x)<0
left-hand sum
critical value
decreasing on an interval
coefficient
7. A point where a function changes concavity; also - where the second derivative changes signs
axis of rotation
inflection point
speed
antidifferentiation
8. Any x values where f'(x)=0 or is undefined
root of an equation
region (in a plane)
critical value
cosecant function
9. 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.
second derivative test
local linearization
increasing on an interval
related rates
10. The limit of f as x approaches c from the right
second derivative
cross-sectional area
left-hand sum
right-hand limit
11. The local and global maximums and minumums of a function
constant function
extrenum
decreasing on an interval
limit
12. For all x in [a -b] - f'(x)>0
amplitude
speed
product rule
increasing on an interval
13. The function y=lnx is the inverse of the exponential function y=e^x
absolute minimum
minimum
natural logarithm
average rate of change
14. 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
base (exponential and logarithmic)
middle sum
optimization
root of an equation
15. The inverse of the cosine function
limit of integration
position function
related rates
arccosine function
16. A line perpendicular to a tangent line at the point of tangency
region (in a plane)
normal line
axis of rotation
radius of a circle
17. 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.
circle
optimization
trapezoidal rule
antidifferentiation
18. 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
slope
differentiability
instantaneous rate of change
local extrema
19. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
odd function
prime notation
radius of a circle
y-axis
20. The vertical axis of the Cartesian coordinate system
acceleration
y-axis
arcsine function
normal line
21. The horizontal axis of the Cartesian coordinate system
decreasing on an interval
origin
x-axis
closed interval [a -b]
22. The number which - when raised to the power of a given logarithm - produces a given number
secant line
base (exponential and logarithmic)
extrenum
position function
23. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
linear function
left-hand sum
absolute maximum
region (in a plane)
24. A method of obtaining the derivative of a composite function
chain rule
local extrema
integrable function
slope
25. Any ordered pair (x -y) where f'(x)=0 or is undefined
region (in a plane)
related rates
critical point
first derivative test
26. A function that possesses a finite integral; the function must be continuous on the interval of integration
implicit differentiation
base (exponential and logarithmic)
integrable function
instantaneous velocity
27. The process of evaluating an indefinite integral
local linearization
y-intercept
trapezoidal rule
antidifferentiation
28. The differentiation of an implicit function with respect to the independent variable
tangent function
implicit differentiation
axis of rotation
relative minimum
29. Notation used for the first derivative of a function
concave up
local extrema
x-axis
dy/dx (Leibniz notation)
30. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
x-intercept
arctangent function
relative maximum
31. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
instantaneous velocity
integration
origin
constant of integration
32. If a function has a well-defined derivative for each element of the domain
continuous function
chain rule
differentiability
closed interval [a -b]
33. The reciprocal of the sine function
left-hand sum
cosecant function
instantaneous velocity
acceleration
34. The process of finding the derivative of a function
amplitude
concave up
circle
differentiation
35. A function that is defined by applying different formulas to different parts of its domain
critical value
piecewise-defined function
y-axis
exponential function
36. A function that can be expressed in the form f(x)=mx+b
linear function
prime notation
minimum
critical value
37. 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
solid of revolution
right-hand sum
arctangent function
normal line
38. Having a decreasing derivative as the independent variable increases; having a negative second derivative
exponential function
zero of a function
arctangent function
concave down
39. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
limit
relative minimum
base (exponential and logarithmic)
critical point
40. 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
right-hand limit
odd function
secant function
root of an equation
41. A function f that gives the position f(t) of a body on a coordinate axis at time t
trapezoidal rule
second derivative test
position function
instantaneous velocity
42. f(-x)= -f(x)
limit of integration
coefficient
odd function
secant function
43. An indefinite integral. an arbitrary constant '+c' is included
odd function
antiderivative
product rule
separable differential equation
44. 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
left-hand sum
concave up
limit of integration
critical value
45. The absolute value or magnitude of velocity
y-intercept
speed
chain rule
antidifferentiation
46. The set of all values that can be assumed by the independent variable of a function
left-hand sum
x-intercept
domain
middle sum
47. Slope between two points on a function
instantaneous rate of change
axis of symmetry
average rate of change
approximation
48. The function that is integrated in an integral
axis of rotation
integration
integrand
exponential function
49. A function that is a fixed numerical value for all elements of the domain of the function
prime notation
constant function
approximation
cotangent function
50. The set of points in a plane that are equidistant from a given point
second derivative
amplitude
local linearization
circle