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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 set of all values that can be assumed by the independent variable of a function
extrenum
domain
tangent line
maximum
2. A line through two points on the curve
secant line
limit
arcsine function
axis of rotation
3. The vertical axis of the Cartesian coordinate system
prime notation
increasing on an interval
axis of rotation
y-axis
4. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
definite integral
local extrema
velocity
radius of a circle
5. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
critical point
discontinuity
sine function
x-intercept
6. 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
natural logarithm
right-hand sum
prime notation
indefinite integral
7. The limit of f as x approaches c from the right
second derivative test
chain rule
cross-sectional area
right-hand limit
8. 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
axis of rotation
slope
root of an equation
linear function
9. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
base (exponential and logarithmic)
region (in a plane)
product rule
slope
10. A function such that the following is true
indefinite integral
absolute maximum
continuous function
instantaneous rate of change
11. A function has a relative minimum if the derivative changes signs from negative to zero to positive
optimization
slope
relative minimum
instantaneous rate of change
12. Having an increasing derivative as the independent variable increases - having a positive second derivative
average rate of change
concave up
differentiability
axis of symmetry
13. 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
limit
approximation
root of an equation
14. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
critical value
x-axis
integrable function
linear approximation
15. An indefinite integral. an arbitrary constant '+c' is included
implicit differentiation
speed
antiderivative
continuity at a point
16. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
local linearization
optimization
tangent line
tangent function
17. A point where a function changes concavity; also - where the second derivative changes signs
inflection point
zero of a function
antiderivative
second derivative test
18. Having a decreasing derivative as the independent variable increases; having a negative second derivative
local linearization
first derivative test
concave down
product rule
19. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
integration
base (exponential and logarithmic)
cotangent function
20. A line around which some body or curve rotates
implicit differentiation
secant line
axis of rotation
first derivative test
21. The x-coordinate of the point where a curve intersects the x-axis
coefficient
x-intercept
slope
natural logarithm
22. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
integrable function
zero of a function
approximation
instantaneous velocity
23. A=x=b
secant function
closed interval [a -b]
separable differential equation
average rate of change
24. A function that can be expressed in the form f(x)=mx+b
position function
linear function
limit
region (in a plane)
25. The reciprocal of the cosine function
antiderivative
secant function
region (in a plane)
dy/dx (Leibniz notation)
26. The smallest value of a function for each value of the domain
secant function
natural logarithm
minimum
discontinuity
27. A line perpendicular to a tangent line at the point of tangency
normal line
integrand
definite integral
increasing on an interval
28. 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
limit
integrable function
slope
first derivative test
29. The differentiation of an implicit function with respect to the independent variable
limit
instantaneous velocity
constant function
implicit differentiation
30. The absolute value or magnitude of velocity
local extrema
speed
cotangent function
position function
31. Either of the endpoints of an interval over which a definite integral is to be evaluated
critical point
limit of integration
root of an equation
absolute minimum
32. The set of points in a plane that are equidistant from a given point
limit
instantaneous velocity
circle
critical value
33. A number which serves as an estimate of a desired number
y-axis
optimization
critical point
approximation
34. The derivative of the first derivative
sine function
odd function
second derivative
maximum
35. Local maximums of minimums of a function
local extrema
middle sum
integration by substitution
rate of change
36. The process by which an antiderivative is calculated
integration
continuity at a point
y-intercept
integrand
37. The function that is integrated in an integral
concave down
integrand
concave up
exponential function
38. The highest value of a function for each value of the domain
integrand
maximum
critical point
relative minimum
39. The solid figure generated by revolving a plane region around a line
cosecant function
solid of revolution
differentiation
tangent function
40. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
position function
linear function
absolute maximum
odd function
41. 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
extrenum
related rates
domain
amplitude
42. Slope between two points on a function
average rate of change
y-intercept
discontinuity
continuity on an interval
43. The number which - when raised to the power of a given logarithm - produces a given number
y-intercept
linear function
base (exponential and logarithmic)
right-hand limit
44. A function has a relative maximum if the derivative changes signs from positive to zero to negative
y-axis
average rate of change
relative maximum
cosine function
45. f(-x)= -f(x)
exponential function
odd function
linear function
second derivative
46. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side
decreasing on an interval
tangent function
exponential function
second derivative
47. A method of obtaining the derivative of a composite function
linear function
relative minimum
arctangent function
chain rule
48. A function f that gives the position f(t) of a body on a coordinate axis at time t
coefficient
definite integral
origin
position function
49. The rate of change of the velocity with respect to time. the second derivative of a position function
related rates
local extrema
arcsine function
acceleration
50. An arbitrary constant term in the expression of the indefinite integral of a function
differentiability
constant of integration
cotangent function
domain