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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. 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
extrenum
root of an equation
local linearization
chain rule
2. The local and global maximums and minumums of a function
extrenum
natural logarithm
piecewise-defined function
right-hand limit
3. 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
region (in a plane)
axis of rotation
instantaneous rate of change
right-hand sum
4. The reciprocal of the cosine function
secant function
differentiability
root of an equation
optimization
5. Slope between two points on a function
radius of a circle
approximation
average rate of change
critical point
6. f(-x)= -f(x)
continuity on an interval
odd function
first derivative test
discontinuity
7. For all x in [a -b] - f'(x)>0
closed interval [a -b]
cosine function
increasing on an interval
cosecant function
8. The inverse of the sine function
approximation
arcsine function
axis of symmetry
constant function
9. The amount of change divided by the time it takes
differentiation
inflection point
rate of change
first derivative test
10. An arbitrary constant term in the expression of the indefinite integral of a function
product rule
antiderivative
continuous function
constant of integration
11. A line around which a geometric figure is symmetrical
integration by substitution
closed interval [a -b]
secant function
axis of symmetry
12. The absolute value or magnitude of velocity
speed
absolute minimum
minimum
continuity at a point
13. The reciprocal of the tangent function
solid of revolution
second derivative
cotangent function
y-axis
14. 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
critical point
trapezoidal rule
tangent function
integration
15. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute maximum
implicit differentiation
local extrema
differentiation
16. The function y=lnx is the inverse of the exponential function y=e^x
closed interval [a -b]
continuity on an interval
natural logarithm
chain rule
17. Any function closely related to the exponential function - and in particular y=a^x - for any a
instantaneous velocity
continuous function
exponential function
odd function
18. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
constant of integration
definite integral
critical value
second derivative
19. The solid figure generated by revolving a plane region around a line
differentiability
solid of revolution
minimum
continuous function
20. A function that possesses a finite integral; the function must be continuous on the interval of integration
x-axis
solid of revolution
integrable function
cross-sectional area
21. The derivative of the first derivative
product rule
critical point
second derivative
exponential function
22. The x-coordinate of the point where a curve intersects the x-axis
x-axis
secant function
x-intercept
tangent line
23. The reciprocal of the sine function
tangent line
trapezoidal rule
cosecant function
root of an equation
24. The horizontal axis of the Cartesian coordinate system
second derivative test
x-axis
continuity at a point
inflection point
25. 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
tangent line
discontinuity
axis of rotation
middle sum
26. If f'(c)=0 and f''(c)>0 - then f has a local maximum at x=c. if f'(c)=0 and f''(c)<0 - then f has a local minimum at x=c.
continuity on an interval
integrable function
natural logarithm
second derivative test
27. A line around which some body or curve rotates
relative maximum
axis of rotation
second derivative
integrable function
28. An indefinite integral. an arbitrary constant '+c' is included
right-hand limit
antiderivative
trapezoidal rule
second derivative test
29. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
base (exponential and logarithmic)
critical point
tangent line
absolute minimum
30. The process of evaluating an indefinite integral
cosecant function
arccosine function
antidifferentiation
limit of integration
31. A method of obtaining the derivative of a composite function
chain rule
closed interval [a -b]
local extrema
implicit differentiation
32. A line through two points on the curve
constant function
secant line
y-axis
natural logarithm
33. Having an increasing derivative as the independent variable increases - having a positive second derivative
cotangent function
x-intercept
concave up
absolute maximum
34. Notation used for the first derivative of a function
extrenum
dy/dx (Leibniz notation)
integration
absolute minimum
35. 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
inflection point
position function
linear function
36. 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
linear approximation
critical value
right-hand sum
antiderivative
37. 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
differentiation
minimum
second derivative test
related rates
38. In periodic functions - the height of the function at the maximum to the middle line
origin
right-hand limit
amplitude
cotangent function
39. 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.
y-intercept
integrand
relative minimum
trapezoidal rule
40. 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)
cosine function
arctangent function
tangent line
instantaneous velocity
41. The ratio x/r with r being the distance of (x -y) from the origin
cross-sectional area
cosine function
acceleration
normal line
42. Local maximums of minimums of a function
antidifferentiation
local extrema
secant function
x-intercept
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
y-axis
first derivative test
region (in a plane)
left-hand sum
44. If a function has a well-defined derivative for each element of the domain
differentiability
y-intercept
absolute minimum
arctangent function
45. The y-coordinate of a point where a curve intersects the y-axis
y-intercept
implicit differentiation
secant line
rate of change
46. The set of all values that can be assumed by the independent variable of a function
continuous function
integration
arcsine function
domain
47. The vertical axis of the Cartesian coordinate system
left-hand sum
y-axis
y-intercept
exponential function
48. The process of finding the derivative of a function
axis of symmetry
closed interval [a -b]
differentiation
first derivative test
49. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
cross-sectional area
limit
arcsine function
tangent function
50. A function has a relative minimum if the derivative changes signs from negative to zero to positive
domain
relative minimum
second derivative
speed