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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 reenforces your understanding as you take the test each time.
1. Notation used for the first derivative of a function
local linearization
chain rule
dy/dx (Leibniz notation)
absolute maximum
2. The local and global maximums and minumums of a function
constant function
root of an equation
arctangent function
extrenum
3. The number which  when raised to the power of a given logarithm  produces a given number
product rule
dy/dx (Leibniz notation)
base (exponential and logarithmic)
righthand sum
4. The horizontal axis of the Cartesian coordinate system
xaxis
linear function
linear approximation
limit
5. A function f that gives the position f(t) of a body on a coordinate axis at time t
position function
base (exponential and logarithmic)
antidifferentiation
indefinite integral
6. In periodic functions  the height of the function at the maximum to the middle line
continuity at a point
implicit differentiation
cosine function
amplitude
7. A function has a relative maximum if the derivative changes signs from positive to zero to negative
domain
limit of integration
relative maximum
maximum
8. A rectangular sum of the area under a curve where the domain is divided into subintervals and the height of each rectangle is the function value at the rightmost point of the subinterval
righthand sum
position function
extrenum
average rate of change
9. Having an increasing derivative as the independent variable increases  having a positive second derivative
constant of integration
maximum
concave up
instantaneous velocity
10. The smallest value of a function for each value of the domain
antidifferentiation
average rate of change
minimum
slope
11. Any ordered pair (x y) where f'(x)=0 or is undefined
constant of integration
circle
critical point
differentiation
12. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
limit
axis of rotation
linear approximation
base (exponential and logarithmic)
13. A segment from the center of the circle to a point on the circle
xintercept
concave up
radius of a circle
instantaneous velocity
14. A method of obtaining the derivative of a composite function
chain rule
related rates
radius of a circle
arctangent function
15. The absolute value or magnitude of velocity
speed
relative minimum
integrand
dy/dx (Leibniz notation)
16. For all x in [a b]  f'(x)<0
indefinite integral
decreasing on an interval
domain
integration by substitution
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.
trapezoidal rule
definite integral
local linearization
differentiability
18. The reciprocal of the sine function
limit of integration
approximation
cosecant function
decreasing on an interval
19. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
instantaneous velocity
zero of a function
differentiation
normal line
20. A function has a relative minimum if the derivative changes signs from negative to zero to positive
lefthand sum
relative minimum
velocity
righthand limit
21. The greatest yvalue that a function achieves. occurs either at a local maximum or an endpoint
constant of integration
critical value
absolute maximum
continuity at a point
22. 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 xintercept of the graph
relative minimum
root of an equation
continuity on an interval
odd function
23. A rectangular sum of the area under a curve where the domain is divided into subintervals and the height of each rectangle is the function value at the leftmost point of the subinterval
maximum
local extrema
lefthand sum
local linearization
24. If y=f(x)  then both y' and f'(x) denote the derivative of the function with respect to x
indefinite integral
cosine function
prime notation
middle sum
25. A trigonometric function that in a rightangled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side
cosecant function
antidifferentiation
tangent function
integrable function
26. A connected subset of twodimensional space  such as the set of points (x y) enclosed by equations of functions and boundary points
middle sum
tangent function
region (in a plane)
normal line
27. 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
cosecant function
concave up
yintercept
first derivative test
28. The value that the function is approaching as x approaches a given value; the left and righthand limits must agree
linear approximation
cosecant function
limit
xintercept
29. 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
indefinite integral
antidifferentiation
trapezoidal rule
30. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
trapezoidal rule
sine function
crosssectional area
radius of a circle
31. 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
closed interval [a b]
concave up
separable differential equation
continuity at a point
32. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
local linearization
maximum
concave down
optimization
33. Either of the endpoints of an interval over which a definite integral is to be evaluated
first derivative test
limit of integration
antidifferentiation
sine function
34. The inverse of the sine function
prime notation
arcsine function
absolute maximum
root of an equation
35. 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
continuity at a point
related rates
critical value
radius of a circle
36. An integral without any specified limits  whose solution includes an undetermined constant C; antiderivative
xaxis
indefinite integral
concave up
slope
37. A function that can be expressed in the form f(x)=mx+b
antiderivative
approximation
separable differential equation
linear function
38. f(x)= f(x)
chain rule
secant function
odd function
local extrema
39. 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 xaxis
coefficient
acceleration
cosine function
slope
40. The ratio x/r with r being the distance of (x y) from the origin
cosine function
cosecant function
related rates
linear function
41. A function that is continuous on both the left and right side at that point
continuity at a point
definite integral
zero of a function
concave up
42. A=x=b
cotangent function
closed interval [a b]
sine function
antidifferentiation
43. A line around which some body or curve rotates
sine function
antidifferentiation
axis of rotation
absolute minimum
44. The process by which an antiderivative is calculated
integration
optimization
cotangent function
relative maximum
45. A number which serves as an estimate of a desired number
righthand sum
linear function
concave up
approximation
46. The solid figure generated by revolving a plane region around a line
solid of revolution
base (exponential and logarithmic)
separable differential equation
decreasing on an interval
47. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
cosine function
second derivative
natural logarithm
instantaneous velocity
48. The derivative of the first derivative
second derivative
region (in a plane)
product rule
sine function
49. The highest value of a function for each value of the domain
integrable function
maximum
first derivative test
coefficient
50. The rate of change of position with respect to time
optimization
middle sum
xintercept
velocity