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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 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
cosecant function
instantaneous rate of change
dy/dx (Leibniz notation)
piecewise-defined function
2. The rate of change of position with respect to time
origin
middle sum
velocity
local extrema
3. A function such that the following is true
circle
linear approximation
concave up
continuous function
4. The process of finding the derivative of a function
y-axis
differentiation
integrand
position function
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
relative minimum
y-intercept
sine function
slope
6. The process of evaluating an indefinite integral
antidifferentiation
secant line
tangent line
average rate of change
7. 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
tangent function
linear function
arccosine function
8. A function that is defined by applying different formulas to different parts of its domain
piecewise-defined function
increasing on an interval
natural logarithm
indefinite integral
9. Either of the endpoints of an interval over which a definite integral is to be evaluated
limit of integration
local linearization
base (exponential and logarithmic)
prime notation
10. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
maximum
tangent line
piecewise-defined function
local linearization
11. The inverse of the tangent function
exponential function
base (exponential and logarithmic)
position function
arctangent function
12. Having an increasing derivative as the independent variable increases - having a positive second derivative
concave up
linear approximation
left-hand sum
solid of revolution
13. A line around which a geometric figure is symmetrical
axis of symmetry
inflection point
critical value
integrand
14. The reciprocal of the tangent function
cotangent function
concave up
velocity
y-intercept
15. If a function has a well-defined derivative for each element of the domain
differentiability
trapezoidal rule
continuous function
axis of symmetry
16. The set of all values that can be assumed by the independent variable of a function
y-intercept
position function
domain
right-hand sum
17. 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.
speed
slope
base (exponential and logarithmic)
trapezoidal rule
18. 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
middle sum
linear approximation
coefficient
normal line
19. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
slope
absolute maximum
arcsine function
instantaneous rate of change
20. The y-coordinate of a point where a curve intersects the y-axis
y-intercept
discontinuity
right-hand limit
critical point
21. 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
linear function
position function
differentiation
coefficient
22. An arbitrary constant term in the expression of the indefinite integral of a function
axis of symmetry
circle
constant of integration
prime notation
23. A function that is continuous on both the left and right side at that point
indefinite integral
definite integral
continuity at a point
separable differential equation
24. 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
absolute minimum
right-hand sum
decreasing on an interval
x-intercept
25. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
right-hand sum
relative minimum
absolute minimum
origin
26. A function that is a fixed numerical value for all elements of the domain of the function
continuity at a point
antidifferentiation
related rates
constant function
27. The solid figure generated by revolving a plane region around a line
definite integral
dy/dx (Leibniz notation)
limit of integration
solid of revolution
28. 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
linear function
left-hand sum
origin
continuity at a point
29. A line through two points on the curve
minimum
implicit differentiation
secant line
radius of a circle
30. The ratio x/r with r being the distance of (x -y) from the origin
rate of change
concave up
piecewise-defined function
cosine function
31. Local maximums of minimums of a function
local extrema
local linearization
optimization
slope
32. Having a decreasing derivative as the independent variable increases; having a negative second derivative
arcsine function
x-axis
instantaneous velocity
concave down
33. The process by which an antiderivative is calculated
integration
root of an equation
decreasing on an interval
cotangent function
34. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
antiderivative
zero of a function
circle
normal line
35. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
x-axis
absolute minimum
limit
local linearization
36. The reciprocal of the cosine function
secant function
limit
normal line
indefinite integral
37. In an application - maximizing or minimizing some aspect of the system being modeled
optimization
tangent line
root of an equation
x-axis
38. 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
local extrema
arcsine function
sine function
39. A number which serves as an estimate of a desired number
integration by substitution
arccosine function
approximation
dy/dx (Leibniz notation)
40. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
normal line
relative maximum
region (in a plane)
local linearization
41. The smallest value of a function for each value of the domain
normal line
minimum
velocity
constant of integration
42. The local and global maximums and minumums of a function
cross-sectional area
instantaneous velocity
extrenum
continuity on an interval
43. The highest value of a function for each value of the domain
instantaneous velocity
maximum
critical value
decreasing on an interval
44. The point (0 -0) in the Cartesian coordinate plane
secant function
indefinite integral
differentiability
origin
45. 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
minimum
slope
separable differential equation
y-axis
46. 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
cross-sectional area
odd function
rate of change
related rates
47. The inverse of the sine function
indefinite integral
arcsine function
x-axis
differentiability
48. f(-x)= -f(x)
y-intercept
position function
odd function
prime notation
49. A function that possesses a finite integral; the function must be continuous on the interval of integration
second derivative
discontinuity
velocity
integrable function
50. The derivative of the first derivative
continuity on an interval
axis of rotation
second derivative
coefficient