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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 number which serves as an estimate of a desired number
approximation
critical value
integrable function
amplitude
2. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
critical point
limit
linear approximation
arctangent function
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
rate of change
left-hand sum
acceleration
axis of symmetry
4. A function has a relative maximum if the derivative changes signs from positive to zero to negative
left-hand sum
linear function
second derivative
relative maximum
5. A method of obtaining the derivative of a composite function
chain rule
absolute maximum
circle
local extrema
6. 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
amplitude
integrand
limit of integration
7. For all x in [a -b] - f'(x)>0
discontinuity
increasing on an interval
zero of a function
decreasing on an interval
8. The reciprocal of the tangent function
cotangent function
integrable function
second derivative
average rate of change
9. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
x-intercept
local extrema
amplitude
definite integral
10. The point (0 -0) in the Cartesian coordinate plane
x-axis
instantaneous rate of change
critical value
origin
11. In an application - maximizing or minimizing some aspect of the system being modeled
optimization
cosecant function
local linearization
integrand
12. The y-coordinate of a point where a curve intersects the y-axis
exponential function
y-intercept
first derivative test
constant of integration
13. The x-coordinate of the point where a curve intersects the x-axis
x-intercept
y-axis
relative maximum
trapezoidal rule
14. Having a decreasing derivative as the independent variable increases; having a negative second derivative
concave down
linear approximation
right-hand limit
differentiability
15. A point where a function changes concavity; also - where the second derivative changes signs
concave up
tangent line
constant function
inflection point
16. A segment from the center of the circle to a point on the circle
critical point
speed
minimum
radius of a circle
17. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
antiderivative
product rule
slope
extrenum
18. The reciprocal of the cosine function
x-intercept
region (in a plane)
normal line
secant function
19. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
instantaneous rate of change
absolute maximum
x-intercept
right-hand limit
20. The inverse of the tangent function
x-intercept
right-hand sum
cosecant function
arctangent function
21. The derivative of the first derivative
x-intercept
second derivative
sine function
increasing on an interval
22. A function that can be expressed in the form f(x)=mx+b
linear function
maximum
arccosine function
cross-sectional area
23. A function that is defined by applying different formulas to different parts of its domain
piecewise-defined function
continuous function
acceleration
absolute maximum
24. The rate of change of a function occurring at or associated with a given instant - or as a limit as a time interval approaches zero; the derivative
limit
maximum
instantaneous rate of change
optimization
25. The highest value of a function for each value of the domain
right-hand limit
maximum
slope
second derivative
26. The amount of change divided by the time it takes
inflection point
cosine function
critical value
rate of change
27. The inverse of the cosine function
product rule
trapezoidal rule
arccosine function
cotangent function
28. An arbitrary constant term in the expression of the indefinite integral of a function
constant of integration
linear approximation
average rate of change
sine function
29. 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
continuity at a point
decreasing on an interval
inflection point
30. The reciprocal of the sine function
natural logarithm
second derivative test
cosecant function
critical value
31. The function that is integrated in an integral
acceleration
increasing on an interval
integration by substitution
integrand
32. The vertical axis of the Cartesian coordinate system
left-hand sum
y-axis
limit of integration
differentiability
33. 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.
trapezoidal rule
implicit differentiation
continuity on an interval
solid of revolution
34. An indefinite integral. an arbitrary constant '+c' is included
normal line
chain rule
antiderivative
product rule
35. Local maximums of minimums of a function
trapezoidal rule
exponential function
y-intercept
local extrema
36. A line around which some body or curve rotates
first derivative test
absolute minimum
axis of rotation
position function
37. A function that possesses a finite integral; the function must be continuous on the interval of integration
tangent line
integrable function
sine function
linear function
38. The rate of change of the velocity with respect to time. the second derivative of a position function
amplitude
linear approximation
acceleration
antidifferentiation
39. A line around which a geometric figure is symmetrical
x-intercept
axis of symmetry
differentiability
integrable function
40. A function has a relative minimum if the derivative changes signs from negative to zero to positive
constant function
natural logarithm
axis of rotation
relative minimum
41. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute minimum
left-hand sum
region (in a plane)
integrable function
42. Any x values where f'(x)=0 or is undefined
base (exponential and logarithmic)
antidifferentiation
critical value
second derivative
43. The inverse of the sine function
differentiation
arcsine function
chain rule
sine function
44. 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
critical point
slope
concave down
axis of symmetry
45. 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
zero of a function
first derivative test
axis of rotation
indefinite integral
46. 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
right-hand sum
rate of change
right-hand limit
critical point
47. 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.
trapezoidal rule
velocity
related rates
second derivative test
48. The process by which an antiderivative is calculated
x-intercept
closed interval [a -b]
integration
optimization
49. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
natural logarithm
indefinite integral
chain rule
local linearization
50. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
radius of a circle
approximation
y-axis
indefinite integral