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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. A function that is continuous at every point on the interval
continuity on an interval
absolute minimum
rate of change
relative maximum
2. The x-coordinate of the point where a curve intersects the x-axis
x-intercept
right-hand sum
local extrema
increasing on an interval
3. The process by which an antiderivative is calculated
integration
arctangent function
limit
decreasing on an interval
4. An indefinite integral. an arbitrary constant '+c' is included
axis of symmetry
antiderivative
velocity
indefinite integral
5. 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
arccosine function
local extrema
discontinuity
6. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
arctangent function
x-axis
region (in a plane)
7. 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
continuous function
radius of a circle
related rates
rate of change
8. The ratio x/r with r being the distance of (x -y) from the origin
differentiation
cosine function
linear function
circle
9. A function such that the following is true
continuous function
extrenum
critical value
y-axis
10. The local and global maximums and minumums of a function
extrenum
antidifferentiation
limit of integration
optimization
11. A function that can be expressed in the form f(x)=mx+b
linear function
average rate of change
left-hand sum
cross-sectional area
12. Any function closely related to the exponential function - and in particular y=a^x - for any a
base (exponential and logarithmic)
concave up
x-axis
exponential function
13. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
integration by substitution
absolute minimum
continuity at a point
concave up
14. 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
x-intercept
integrable function
separable differential equation
continuous function
15. The point (0 -0) in the Cartesian coordinate plane
secant line
rate of change
y-intercept
origin
16. 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
odd function
arctangent function
right-hand sum
first derivative test
17. The horizontal axis of the Cartesian coordinate system
exponential function
related rates
instantaneous rate of change
x-axis
18. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
concave up
arcsine function
product rule
extrenum
19. 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
linear approximation
region (in a plane)
chain rule
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 left-most point of the sub-interval
tangent line
separable differential equation
left-hand sum
piecewise-defined function
21. 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
critical point
slope
right-hand sum
linear function
22. 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
constant of integration
middle sum
chain rule
exponential function
23. The process of finding the derivative of a function
related rates
circle
differentiation
y-axis
24. The inverse of the cosine function
right-hand limit
arccosine function
dy/dx (Leibniz notation)
origin
25. In an application - maximizing or minimizing some aspect of the system being modeled
optimization
implicit differentiation
left-hand sum
prime notation
26. In periodic functions - the height of the function at the maximum to the middle line
second derivative
region (in a plane)
constant of integration
amplitude
27. The function that is integrated in an integral
instantaneous velocity
speed
integration
integrand
28. A=x=b
related rates
y-intercept
definite integral
closed interval [a -b]
29. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
solid of revolution
tangent line
axis of symmetry
local linearization
30. For all x in [a -b] - f'(x)>0
speed
increasing on an interval
instantaneous rate of change
linear function
31. The reciprocal of the sine function
cosecant function
middle sum
rate of change
constant of integration
32. The absolute value or magnitude of velocity
integration
linear approximation
secant line
speed
33. For all x in [a -b] - f'(x)<0
natural logarithm
decreasing on an interval
separable differential equation
linear function
34. 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
amplitude
root of an equation
decreasing on an interval
absolute maximum
35. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
linear approximation
indefinite integral
trapezoidal rule
absolute minimum
36. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
indefinite integral
minimum
y-axis
continuity at a point
37. Local maximums of minimums of a function
relative maximum
rate of change
local extrema
middle sum
38. The differentiation of an implicit function with respect to the independent variable
local linearization
implicit differentiation
absolute minimum
right-hand limit
39. The inverse of the tangent function
natural logarithm
arctangent function
zero of a function
middle sum
40. A number which serves as an estimate of a desired number
first derivative test
relative maximum
related rates
approximation
41. 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
inflection point
continuity on an interval
42. Having an increasing derivative as the independent variable increases - having a positive second derivative
continuous function
related rates
optimization
concave up
43. Any ordered pair (x -y) where f'(x)=0 or is undefined
root of an equation
instantaneous rate of change
critical point
indefinite integral
44. The solid figure generated by revolving a plane region around a line
solid of revolution
velocity
tangent line
constant function
45. A line around which some body or curve rotates
cotangent function
axis of rotation
trapezoidal rule
critical point
46. Any x values where f'(x)=0 or is undefined
secant line
solid of revolution
absolute minimum
critical value
47. Notation used for the first derivative of a function
odd function
dy/dx (Leibniz notation)
average rate of change
limit
48. The smallest value of a function for each value of the domain
y-axis
continuity at a point
minimum
product rule
49. Either of the endpoints of an interval over which a definite integral is to be evaluated
exponential function
limit of integration
secant line
inflection point
50. If a function has a well-defined derivative for each element of the domain
instantaneous velocity
differentiability
y-intercept
secant line
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