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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. In an application - maximizing or minimizing some aspect of the system being modeled
secant line
antidifferentiation
chain rule
optimization
2. The ratio x/r with r being the distance of (x -y) from the origin
indefinite integral
cosine function
minimum
x-intercept
3. 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.
axis of symmetry
y-intercept
second derivative test
absolute maximum
4. The x-coordinate of the point where a curve intersects the x-axis
limit
x-intercept
decreasing on an interval
linear approximation
5. A segment from the center of the circle to a point on the circle
velocity
dy/dx (Leibniz notation)
radius of a circle
exponential function
6. The y-coordinate of a point where a curve intersects the y-axis
base (exponential and logarithmic)
definite integral
y-intercept
odd function
7. The smallest value of a function for each value of the domain
inflection point
minimum
rate of change
root of an equation
8. 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
cosine function
closed interval [a -b]
instantaneous rate of change
9. A method of obtaining the derivative of a composite function
second derivative test
chain rule
maximum
integrand
10. 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
discontinuity
optimization
decreasing on an interval
origin
11. Having an increasing derivative as the independent variable increases - having a positive second derivative
antiderivative
cosine function
concave up
limit
12. The local and global maximums and minumums of a function
constant of integration
maximum
root of an equation
extrenum
13. A function that can be expressed in the form f(x)=mx+b
linear function
constant of integration
instantaneous rate of change
axis of rotation
14. The reciprocal of the tangent function
cotangent function
x-axis
region (in a plane)
constant function
15. The limit of f as x approaches c from the right
radius of a circle
right-hand limit
integration by substitution
speed
16. The set of points in a plane that are equidistant from a given point
relative maximum
continuity on an interval
circle
region (in a plane)
17. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
continuous function
tangent line
rate of change
absolute maximum
18. A function f that gives the position f(t) of a body on a coordinate axis at time t
position function
amplitude
extrenum
absolute maximum
19. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
linear approximation
local extrema
prime notation
implicit differentiation
20. 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
differentiation
approximation
middle sum
right-hand sum
21. A function that is defined by applying different formulas to different parts of its domain
relative minimum
piecewise-defined function
maximum
differentiation
22. Any function closely related to the exponential function - and in particular y=a^x - for any a
continuous function
exponential function
antiderivative
arcsine function
23. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
prime notation
instantaneous velocity
solid of revolution
absolute minimum
24. Local maximums of minimums of a function
critical value
local extrema
velocity
rate of change
25. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
sine function
secant line
definite integral
limit
26. 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
instantaneous velocity
middle sum
concave up
slope
27. A line through two points on the curve
secant line
separable differential equation
relative minimum
differentiability
28. The point (0 -0) in the Cartesian coordinate plane
trapezoidal rule
origin
chain rule
critical point
29. A line around which some body or curve rotates
axis of rotation
amplitude
integration
x-intercept
30. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
left-hand sum
rate of change
integration
definite integral
31. The rate of change of the velocity with respect to time. the second derivative of a position function
integrable function
rate of change
minimum
acceleration
32. 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
coefficient
relative minimum
optimization
33. For all x in [a -b] - f'(x)<0
decreasing on an interval
amplitude
critical point
solid of revolution
34. The derivative of the first derivative
axis of rotation
second derivative
indefinite integral
radius of a circle
35. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
speed
indefinite integral
domain
piecewise-defined function
36. The highest value of a function for each value of the domain
minimum
maximum
root of an equation
integrable function
37. A point where a function changes concavity; also - where the second derivative changes signs
linear approximation
inflection point
critical point
constant function
38. The number which - when raised to the power of a given logarithm - produces a given number
base (exponential and logarithmic)
constant of integration
continuity at a point
linear approximation
39. A function that is continuous at every point on the interval
constant function
arcsine function
natural logarithm
continuity on an interval
40. 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
decreasing on an interval
limit
coefficient
41. A=x=b
constant of integration
antidifferentiation
closed interval [a -b]
arccosine function
42. An indefinite integral. an arbitrary constant '+c' is included
antiderivative
antidifferentiation
local extrema
base (exponential and logarithmic)
43. The function that is integrated in an integral
instantaneous velocity
integrand
local linearization
continuity at a point
44. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
closed interval [a -b]
region (in a plane)
cross-sectional area
relative minimum
45. A number which serves as an estimate of a desired number
maximum
approximation
discontinuity
zero of a function
46. Any ordered pair (x -y) where f'(x)=0 or is undefined
critical point
arcsine function
differentiation
speed
47. Having a decreasing derivative as the independent variable increases; having a negative second derivative
sine function
concave down
root of an equation
slope
48. If a function has a well-defined derivative for each element of the domain
origin
optimization
differentiability
continuity at a point
49. For all x in [a -b] - f'(x)>0
indefinite integral
increasing on an interval
continuous function
axis of symmetry
50. A function has a relative minimum if the derivative changes signs from negative to zero to positive
antidifferentiation
concave up
exponential function
relative minimum