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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. The process by which an antiderivative is calculated
integration
minimum
first derivative test
axis of symmetry
2. For all x in [a -b] - f'(x)<0
cosecant function
decreasing on an interval
inflection point
position function
3. The point (0 -0) in the Cartesian coordinate plane
implicit differentiation
relative maximum
origin
indefinite integral
4. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
integration
sine function
secant function
normal line
5. A method of obtaining the derivative of a composite function
chain rule
first derivative test
slope
velocity
6. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
second derivative test
prime notation
inflection point
definite integral
7. The limit of f as x approaches c from the right
related rates
right-hand limit
increasing on an interval
arcsine function
8. The number which - when raised to the power of a given logarithm - produces a given number
base (exponential and logarithmic)
related rates
domain
linear function
9. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
critical value
linear approximation
right-hand limit
instantaneous rate of change
10. The vertical axis of the Cartesian coordinate system
y-axis
integrand
absolute maximum
base (exponential and logarithmic)
11. Any function closely related to the exponential function - and in particular y=a^x - for any a
axis of symmetry
exponential function
product rule
arcsine function
12. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
product rule
absolute maximum
solid of revolution
definite integral
13. A function f that gives the position f(t) of a body on a coordinate axis at time t
position function
slope
linear function
amplitude
14. The set of all values that can be assumed by the independent variable of a function
origin
domain
normal line
integrand
15. An arbitrary constant term in the expression of the indefinite integral of a function
domain
cosine function
constant of integration
cross-sectional area
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
antiderivative
arccosine function
first derivative test
dy/dx (Leibniz notation)
17. 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
local extrema
velocity
average rate of change
18. The rate of change of position with respect to time
x-axis
acceleration
velocity
radius of a circle
19. 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
separable differential equation
domain
decreasing on an interval
indefinite integral
20. The smallest value of a function for each value of the domain
normal line
integration
minimum
relative minimum
21. 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
absolute maximum
instantaneous rate of change
natural logarithm
22. The inverse of the sine function
integrand
arcsine function
speed
cosine function
23. Local maximums of minimums of a function
exponential function
relative maximum
tangent function
local extrema
24. Slope between two points on a function
critical point
middle sum
origin
average rate of change
25. The differentiation of an implicit function with respect to the independent variable
piecewise-defined function
linear function
x-intercept
implicit differentiation
26. 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)
left-hand sum
cosecant function
differentiability
tangent line
27. f(-x)= -f(x)
x-intercept
odd function
critical value
natural logarithm
28. A point where a function changes concavity; also - where the second derivative changes signs
y-axis
inflection point
continuity at a point
second derivative
29. Notation used for the first derivative of a function
axis of rotation
cosecant function
dy/dx (Leibniz notation)
linear approximation
30. The y-coordinate of a point where a curve intersects the y-axis
continuity on an interval
root of an equation
y-intercept
chain rule
31. The horizontal axis of the Cartesian coordinate system
approximation
separable differential equation
inflection point
x-axis
32. Having an increasing derivative as the independent variable increases - having a positive second derivative
rate of change
antidifferentiation
piecewise-defined function
concave up
33. The rate of change of the velocity with respect to time. the second derivative of a position function
amplitude
extrenum
acceleration
linear approximation
34. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
piecewise-defined function
cotangent function
integrable function
limit
35. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
first derivative test
middle sum
limit of integration
zero of a function
36. 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
x-intercept
middle sum
cotangent function
37. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
cross-sectional area
differentiation
secant line
indefinite integral
38. 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
origin
tangent function
linear approximation
arccosine function
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
instantaneous rate of change
concave up
trapezoidal rule
arccosine function
40. If a function has a well-defined derivative for each element of the domain
concave up
cotangent function
differentiability
average rate of change
41. The inverse of the cosine function
concave up
definite integral
differentiation
arccosine function
42. The reciprocal of the cosine function
prime notation
y-axis
linear function
secant function
43. The function y=lnx is the inverse of the exponential function y=e^x
natural logarithm
concave up
extrenum
limit
44. A function such that the following is true
continuous function
integrable function
instantaneous velocity
circle
45. The highest value of a function for each value of the domain
maximum
increasing on an interval
chain rule
velocity
46. The reciprocal of the sine function
cosecant function
rate of change
cross-sectional area
optimization
47. 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
right-hand sum
average rate of change
second derivative
integration by substitution
48. The local and global maximums and minumums of a function
origin
antiderivative
x-intercept
extrenum
49. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
differentiability
local linearization
related rates
50. 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
related rates
decreasing on an interval
local extrema
concave down