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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.
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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 segment from the center of the circle to a point on the circle
radius of a circle
cotangent function
odd function
rate of change
2. The highest value of a function for each value of the domain
origin
right-hand limit
maximum
indefinite integral
3. The inverse of the tangent function
arctangent function
absolute minimum
continuity on an interval
related rates
4. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
integration
separable differential equation
y-intercept
5. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
local extrema
linear approximation
left-hand sum
inflection point
6. Slope between two points on a function
trapezoidal rule
y-axis
average rate of change
decreasing on an interval
7. The set of all values that can be assumed by the independent variable of a function
domain
increasing on an interval
right-hand limit
dy/dx (Leibniz notation)
8. A method of obtaining the derivative of a composite function
coefficient
chain rule
cosecant function
increasing on an interval
9. A function f that gives the position f(t) of a body on a coordinate axis at time t
position function
secant line
maximum
cross-sectional area
10. 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
concave down
left-hand sum
domain
11. 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
secant line
separable differential equation
definite integral
increasing on an interval
12. The vertical axis of the Cartesian coordinate system
integration by substitution
sine function
instantaneous rate of change
y-axis
13. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
constant of integration
product rule
x-intercept
region (in a plane)
14. The number which - when raised to the power of a given logarithm - produces a given number
base (exponential and logarithmic)
root of an equation
constant of integration
limit of integration
15. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
solid of revolution
normal line
axis of rotation
local linearization
16. A line around which some body or curve rotates
axis of rotation
limit of integration
amplitude
normal line
17. The absolute value or magnitude of velocity
normal line
speed
average rate of change
linear function
18. Having a decreasing derivative as the independent variable increases; having a negative second derivative
concave up
continuity at a point
concave down
extrenum
19. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
domain
radius of a circle
definite integral
circle
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
right-hand sum
constant function
cotangent function
limit of integration
21. The reciprocal of the tangent function
local linearization
implicit differentiation
cotangent function
speed
22. Any function closely related to the exponential function - and in particular y=a^x - for any a
separable differential equation
secant function
exponential function
cosecant function
23. A function that is continuous on both the left and right side at that point
continuity at a point
continuity on an interval
secant function
minimum
24. The local and global maximums and minumums of a function
integration by substitution
extrenum
velocity
local linearization
25. A line through two points on the curve
integrand
linear function
velocity
secant line
26. f(-x)= -f(x)
arcsine function
approximation
product rule
odd function
27. The amount of change divided by the time it takes
normal line
rate of change
product rule
implicit differentiation
28. In integrating composite function - either using pattern recognition or change of variables to perform the integration
cosine function
integration by substitution
odd function
natural logarithm
29. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
indefinite integral
second derivative
arctangent function
arcsine function
30. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
limit
radius of a circle
increasing on an interval
rate of change
31. To the graph of a function y=f(x) at a point x=a where exists the line through (a -f(a)) with slope f'(a)
tangent line
y-intercept
cross-sectional area
slope
32. For all x in [a -b] - f'(x)>0
radius of a circle
odd function
differentiability
increasing on an interval
33. Either of the endpoints of an interval over which a definite integral is to be evaluated
increasing on an interval
limit of integration
sine function
extrenum
34. Any x values where f'(x)=0 or is undefined
piecewise-defined function
local linearization
critical value
cosecant function
35. An arbitrary constant term in the expression of the indefinite integral of a function
linear approximation
constant function
antiderivative
constant of integration
36. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute maximum
y-intercept
zero of a function
cosecant function
37. A point where a function changes concavity; also - where the second derivative changes signs
velocity
second derivative test
inflection point
root of an equation
38. For all x in [a -b] - f'(x)<0
differentiation
linear approximation
decreasing on an interval
definite integral
39. The smallest value of a function for each value of the domain
right-hand sum
minimum
first derivative test
cross-sectional area
40. A function that can be expressed in the form f(x)=mx+b
linear function
cosecant function
second derivative
position function
41. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
prime notation
speed
middle sum
limit of integration
42. Having an increasing derivative as the independent variable increases - having a positive second derivative
concave up
x-axis
cotangent function
arctangent function
43. 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
increasing on an interval
coefficient
indefinite integral
left-hand sum
44. The reciprocal of the cosine function
secant function
tangent function
cross-sectional area
odd function
45. A multiplicative factor in some term of an expression (or of a series); it is usually a number - but in any case does not involve any variables of the expression
x-axis
local linearization
x-intercept
coefficient
46. 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
minimum
instantaneous velocity
first derivative test
x-intercept
47. A number which serves as an estimate of a desired number
approximation
concave down
chain rule
speed
48. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
critical point
first derivative test
constant of integration
49. A line perpendicular to a tangent line at the point of tangency
normal line
region (in a plane)
continuous function
right-hand sum
50. Local maximums of minimums of a function
local extrema
second derivative
continuity at a point
relative maximum
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