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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 differentiation of an implicit function with respect to the independent variable
arctangent function
absolute minimum
left-hand sum
implicit differentiation
2. The highest value of a function for each value of the domain
maximum
relative maximum
absolute minimum
implicit differentiation
3. A line around which some body or curve rotates
cosecant function
axis of rotation
chain rule
average rate of change
4. The set of points in a plane that are equidistant from a given point
circle
antidifferentiation
continuity at a point
rate of change
5. In an application - maximizing or minimizing some aspect of the system being modeled
optimization
increasing on an interval
definite integral
axis of rotation
6. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
velocity
cross-sectional area
relative maximum
odd function
7. The function that is integrated in an integral
integrand
second derivative
antiderivative
velocity
8. Local maximums of minimums of a function
natural logarithm
secant function
x-axis
local extrema
9. The limit of f as x approaches c from the right
cross-sectional area
concave down
speed
right-hand limit
10. 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
first derivative test
tangent line
related rates
dy/dx (Leibniz notation)
11. The y-coordinate of a point where a curve intersects the y-axis
instantaneous velocity
odd function
y-intercept
circle
12. 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
secant function
coefficient
rate of change
axis of rotation
13. 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
differentiability
right-hand sum
product rule
14. If a function has a well-defined derivative for each element of the domain
approximation
differentiability
y-axis
middle sum
15. A function f that gives the position f(t) of a body on a coordinate axis at time t
odd function
absolute minimum
critical point
position function
16. Notation used for the first derivative of a function
dy/dx (Leibniz notation)
second derivative test
optimization
integrable function
17. The inverse of the sine function
zero of a function
arcsine function
local extrema
limit of integration
18. A point where a function changes concavity; also - where the second derivative changes signs
constant function
right-hand limit
product rule
inflection point
19. The set of all values that can be assumed by the independent variable of a function
cosecant function
instantaneous velocity
domain
y-axis
20. Any function closely related to the exponential function - and in particular y=a^x - for any a
axis of symmetry
origin
concave down
exponential function
21. A function has a relative minimum if the derivative changes signs from negative to zero to positive
second derivative
dy/dx (Leibniz notation)
relative minimum
cotangent function
22. 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
solid of revolution
x-intercept
23. Having a decreasing derivative as the independent variable increases; having a negative second derivative
cosine function
concave down
antiderivative
right-hand limit
24. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute maximum
integration
instantaneous rate of change
closed interval [a -b]
25. 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
differentiability
critical point
middle sum
discontinuity
26. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
sine function
relative minimum
approximation
discontinuity
27. A function that is defined by applying different formulas to different parts of its domain
piecewise-defined function
arccosine function
related rates
normal line
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
continuity on an interval
local linearization
first derivative test
integration
29. The ratio x/r with r being the distance of (x -y) from the origin
arcsine function
position function
discontinuity
cosine function
30. The process by which an antiderivative is calculated
slope
prime notation
integration
concave up
31. A method of obtaining the derivative of a composite function
integrand
sine function
continuity at a point
chain rule
32. A line through two points on the curve
exponential function
speed
solid of revolution
secant line
33. 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
tangent function
definite integral
cotangent function
antidifferentiation
34. 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.
related rates
exponential function
limit
trapezoidal rule
35. The rate of change of the velocity with respect to time. the second derivative of a position function
odd function
acceleration
right-hand limit
related rates
36. The point (0 -0) in the Cartesian coordinate plane
critical value
position function
axis of symmetry
origin
37. The horizontal axis of the Cartesian coordinate system
x-axis
discontinuity
y-axis
increasing on an interval
38. f(-x)= -f(x)
odd function
amplitude
root of an equation
cross-sectional area
39. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
minimum
indefinite integral
discontinuity
maximum
40. The local and global maximums and minumums of a function
extrenum
minimum
continuity at a point
left-hand sum
41. A function that possesses a finite integral; the function must be continuous on the interval of integration
discontinuity
extrenum
acceleration
integrable function
42. The x-coordinate of the point where a curve intersects the x-axis
concave down
instantaneous rate of change
relative maximum
x-intercept
43. In periodic functions - the height of the function at the maximum to the middle line
radius of a circle
amplitude
minimum
closed interval [a -b]
44. 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)
right-hand sum
tangent line
related rates
root of an equation
45. For all x in [a -b] - f'(x)<0
slope
decreasing on an interval
local linearization
root of an equation
46. Having an increasing derivative as the independent variable increases - having a positive second derivative
inflection point
piecewise-defined function
second derivative
concave up
47. 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
slope
integrand
secant line
axis of symmetry
48. A segment from the center of the circle to a point on the circle
tangent line
discontinuity
constant function
radius of a circle
49. A=x=b
closed interval [a -b]
product rule
right-hand sum
differentiation
50. The derivative of the first derivative
second derivative
related rates
definite integral
limit
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