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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. The process by which an antiderivative is calculated
linear function
concave down
integration
x-axis
2. f(-x)= -f(x)
integration
odd function
relative maximum
secant line
3. 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
sine function
tangent function
instantaneous velocity
cosine function
4. A method of obtaining the derivative of a composite function
approximation
chain rule
indefinite integral
position function
5. The rate of change of position with respect to time
solid of revolution
velocity
constant of integration
optimization
6. In periodic functions - the height of the function at the maximum to the middle line
region (in a plane)
amplitude
discontinuity
inflection point
7. A line perpendicular to a tangent line at the point of tangency
right-hand limit
approximation
inflection point
normal line
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
trapezoidal rule
origin
root of an equation
instantaneous velocity
9. The derivative of the first derivative
dy/dx (Leibniz notation)
second derivative
arcsine function
definite integral
10. 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
concave down
increasing on an interval
discontinuity
differentiability
11. The smallest value of a function for each value of the domain
arcsine function
average rate of change
sine function
minimum
12. A function that is continuous at every point on the interval
chain rule
local extrema
absolute minimum
continuity on an interval
13. Having a decreasing derivative as the independent variable increases; having a negative second derivative
limit
slope
concave down
indefinite integral
14. Any x values where f'(x)=0 or is undefined
secant function
constant of integration
critical value
origin
15. The vertical axis of the Cartesian coordinate system
y-axis
integration
position function
radius of a circle
16. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
local linearization
constant function
relative minimum
velocity
17. A function f that gives the position f(t) of a body on a coordinate axis at time t
minimum
position function
coefficient
integrand
18. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
trapezoidal rule
acceleration
prime notation
continuous function
19. Local maximums of minimums of a function
amplitude
local extrema
zero of a function
base (exponential and logarithmic)
20. A function has a relative maximum if the derivative changes signs from positive to zero to negative
relative maximum
constant function
circle
normal line
21. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
continuity on an interval
second derivative test
chain rule
absolute minimum
22. A point where a function changes concavity; also - where the second derivative changes signs
minimum
prime notation
solid of revolution
inflection point
23. A function has a relative minimum if the derivative changes signs from negative to zero to positive
relative minimum
cosecant function
axis of rotation
root of an equation
24. 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
secant function
first derivative test
natural logarithm
average rate of change
25. A line through two points on the curve
piecewise-defined function
instantaneous rate of change
secant line
secant function
26. A function that is continuous on both the left and right side at that point
continuity at a point
discontinuity
linear approximation
odd function
27. The amount of change divided by the time it takes
product rule
right-hand limit
right-hand sum
rate of change
28. A line around which a geometric figure is symmetrical
implicit differentiation
axis of symmetry
arctangent function
coefficient
29. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
cotangent function
absolute minimum
concave down
region (in a plane)
30. The x-coordinate of the point where a curve intersects the x-axis
secant line
discontinuity
instantaneous rate of change
x-intercept
31. 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
coefficient
integrable function
prime notation
arctangent function
32. An indefinite integral. an arbitrary constant '+c' is included
sine function
differentiation
amplitude
antiderivative
33. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
definite integral
discontinuity
x-intercept
linear approximation
34. The reciprocal of the sine function
cosecant function
relative maximum
concave up
inflection point
35. An arbitrary constant term in the expression of the indefinite integral of a function
tangent function
second derivative test
differentiability
constant of integration
36. 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
acceleration
y-axis
concave down
37. 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
left-hand sum
maximum
definite integral
38. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute maximum
coefficient
secant function
inflection point
39. 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
absolute minimum
integration
limit of integration
instantaneous rate of change
40. Either of the endpoints of an interval over which a definite integral is to be evaluated
limit of integration
cross-sectional area
arccosine function
average rate of change
41. The function that is integrated in an integral
integrand
cotangent function
rate of change
approximation
42. The differentiation of an implicit function with respect to the independent variable
absolute minimum
solid of revolution
implicit differentiation
concave down
43. For all x in [a -b] - f'(x)>0
second derivative test
differentiability
absolute maximum
increasing on an interval
44. The inverse of the cosine function
arccosine function
domain
origin
trapezoidal rule
45. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
product rule
absolute minimum
position function
second derivative test
46. Any function closely related to the exponential function - and in particular y=a^x - for any a
exponential function
x-axis
integration by substitution
axis of symmetry
47. Notation used for the first derivative of a function
dy/dx (Leibniz notation)
critical point
discontinuity
cotangent function
48. The horizontal axis of the Cartesian coordinate system
x-axis
position function
inflection point
right-hand sum
49. A=x=b
axis of rotation
right-hand sum
closed interval [a -b]
relative minimum
50. The reciprocal of the tangent function
constant of integration
right-hand limit
root of an equation
cotangent function
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