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