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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. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
integrable function
linear approximation
middle sum
cross-sectional area
2. The function y=lnx is the inverse of the exponential function y=e^x
optimization
limit
sine function
natural logarithm
3. The inverse of the cosine function
velocity
arccosine function
axis of symmetry
minimum
4. A function that is defined by applying different formulas to different parts of its domain
average rate of change
piecewise-defined function
limit of integration
x-axis
5. Local maximums of minimums of a function
velocity
critical point
local extrema
concave down
6. Having a decreasing derivative as the independent variable increases; having a negative second derivative
chain rule
concave down
relative maximum
domain
7. Any x values where f'(x)=0 or is undefined
natural logarithm
linear approximation
relative minimum
critical value
8. A function that possesses a finite integral; the function must be continuous on the interval of integration
related rates
increasing on an interval
integrable function
implicit differentiation
9. A function that can be expressed in the form f(x)=mx+b
linear function
root of an equation
constant function
middle sum
10. In an application - maximizing or minimizing some aspect of the system being modeled
origin
arcsine function
optimization
integrand
11. The limit of f as x approaches c from the right
right-hand limit
integrand
axis of symmetry
absolute maximum
12. The reciprocal of the cosine function
linear function
secant function
solid of revolution
limit of integration
13. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
prime notation
absolute maximum
trapezoidal rule
cosecant function
14. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
origin
secant line
right-hand limit
indefinite integral
15. A line through two points on the curve
x-intercept
constant of integration
secant line
arcsine function
16. The smallest value of a function for each value of the domain
minimum
prime notation
natural logarithm
zero of a function
17. Slope between two points on a function
zero of a function
average rate of change
base (exponential and logarithmic)
increasing on an interval
18. The inverse of the tangent function
instantaneous rate of change
middle sum
trapezoidal rule
arctangent function
19. A function has a relative maximum if the derivative changes signs from positive to zero to negative
antidifferentiation
cosine function
relative maximum
closed interval [a -b]
20. A line around which some body or curve rotates
axis of rotation
indefinite integral
arcsine function
approximation
21. A point where a function changes concavity; also - where the second derivative changes signs
related rates
inflection point
relative minimum
odd 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
maximum
continuous function
instantaneous rate of change
separable differential equation
23. 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.
second derivative test
continuous function
concave up
integration
24. The differentiation of an implicit function with respect to the independent variable
implicit differentiation
continuous function
cross-sectional area
cotangent function
25. The inverse of the sine function
arcsine function
y-axis
odd function
implicit differentiation
26. A function that is a fixed numerical value for all elements of the domain of the function
root of an equation
inflection point
concave up
constant function
27. A function such that the following is true
increasing on an interval
continuous function
amplitude
right-hand sum
28. Notation used for the first derivative of a function
dy/dx (Leibniz notation)
critical point
concave down
optimization
29. The process of evaluating an indefinite integral
increasing on an interval
discontinuity
approximation
antidifferentiation
30. The rate of change of position with respect to time
velocity
concave up
exponential function
constant of integration
31. The derivative of the first derivative
secant function
second derivative
cosecant function
x-intercept
32. A function that is continuous at every point on the interval
normal line
secant line
continuity on an interval
dy/dx (Leibniz notation)
33. Any ordered pair (x -y) where f'(x)=0 or is undefined
critical point
y-intercept
local extrema
first derivative test
34. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
root of an equation
maximum
cross-sectional area
related rates
35. The reciprocal of the sine function
cosecant function
left-hand sum
exponential function
differentiability
36. 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
secant line
y-axis
average rate of change
tangent function
37. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
x-intercept
natural logarithm
absolute maximum
absolute minimum
38. 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)
x-axis
limit of integration
dy/dx (Leibniz notation)
tangent line
39. The local and global maximums and minumums of a function
integrand
y-axis
secant line
extrenum
40. 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
implicit differentiation
continuous function
local linearization
discontinuity
41. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
position function
definite integral
local extrema
zero of a function
42. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
region (in a plane)
indefinite integral
amplitude
constant of integration
43. A=x=b
instantaneous velocity
chain rule
closed interval [a -b]
concave up
44. The point (0 -0) in the Cartesian coordinate plane
concave up
second derivative test
x-axis
origin
45. A function that is continuous on both the left and right side at that point
maximum
exponential function
continuity at a point
minimum
46. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
root of an equation
sine function
continuity on an interval
cotangent function
47. The absolute value or magnitude of velocity
x-intercept
continuous function
piecewise-defined function
speed
48. 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
second derivative test
definite integral
trapezoidal rule
49. For all x in [a -b] - f'(x)<0
decreasing on an interval
differentiation
cosine function
axis of rotation
50. 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
first derivative test
inflection point
critical value
integration by substitution