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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. 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
constant function
first derivative test
minimum
tangent function
2. For all x in [a -b] - f'(x)>0
linear function
definite integral
increasing on an interval
right-hand limit
3. A point where a function changes concavity; also - where the second derivative changes signs
amplitude
relative minimum
inflection point
slope
4. 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
secant line
limit
related rates
5. The local and global maximums and minumums of a function
average rate of change
secant function
extrenum
radius of a circle
6. A function that possesses a finite integral; the function must be continuous on the interval of integration
prime notation
x-axis
integrable function
solid of revolution
7. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
implicit differentiation
sine function
critical point
middle sum
8. In an application - maximizing or minimizing some aspect of the system being modeled
approximation
local extrema
optimization
average rate of change
9. 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
decreasing on an interval
y-intercept
optimization
10. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
prime notation
discontinuity
chain rule
linear approximation
11. The derivative of the first derivative
second derivative
secant line
odd function
continuity at a point
12. Any function closely related to the exponential function - and in particular y=a^x - for any a
x-axis
exponential function
increasing on an interval
secant line
13. Local maximums of minimums of a function
maximum
integrable function
local extrema
axis of rotation
14. 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
right-hand limit
odd function
cotangent function
coefficient
15. The process of evaluating an indefinite integral
antidifferentiation
separable differential equation
continuity on an interval
circle
16. f(-x)= -f(x)
tangent line
axis of rotation
odd function
increasing on an interval
17. A function that is continuous at every point on the interval
constant function
exponential function
definite integral
continuity on an interval
18. If a function has a well-defined derivative for each element of the domain
discontinuity
differentiability
base (exponential and logarithmic)
concave up
19. The absolute value or magnitude of velocity
integration by substitution
first derivative test
speed
differentiability
20. The steepness of a line; the ratio of the rise of a line divided by the run of a line between any two points; the tangent of the angle between the direction of a line and the x-axis
slope
trapezoidal rule
product rule
concave up
21. A function that is continuous on both the left and right side at that point
continuity on an interval
concave up
continuity at a point
instantaneous rate of change
22. A function such that the following is true
amplitude
axis of rotation
continuous function
rate of change
23. 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
arcsine function
related rates
right-hand limit
constant function
24. A line perpendicular to a tangent line at the point of tangency
average rate of change
relative maximum
prime notation
normal line
25. Having an increasing derivative as the independent variable increases - having a positive second derivative
tangent function
domain
concave up
chain rule
26. The y-coordinate of a point where a curve intersects the y-axis
tangent function
y-intercept
region (in a plane)
average rate of change
27. 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
origin
dy/dx (Leibniz notation)
middle sum
domain
28. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
discontinuity
linear approximation
zero of a function
instantaneous rate of change
29. The inverse of the cosine function
arccosine function
middle sum
coefficient
optimization
30. An arbitrary constant term in the expression of the indefinite integral of a function
minimum
zero of a function
constant of integration
solid of revolution
31. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
right-hand sum
increasing on an interval
product rule
exponential function
32. A line around which a geometric figure is symmetrical
critical value
definite integral
axis of symmetry
y-axis
33. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
average rate of change
dy/dx (Leibniz notation)
critical value
limit
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
acceleration
cross-sectional area
continuous function
piecewise-defined function
35. 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
chain rule
relative minimum
extrenum
right-hand sum
36. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
relative maximum
absolute maximum
limit of integration
exponential function
37. The reciprocal of the tangent function
arcsine function
definite integral
piecewise-defined function
cotangent function
38. A function that is a fixed numerical value for all elements of the domain of the function
instantaneous velocity
right-hand sum
exponential function
constant 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
second derivative
cosine function
odd function
instantaneous rate of change
40. The reciprocal of the cosine function
secant function
arccosine function
constant of integration
limit
41. The inverse of the sine function
exponential function
cosine function
local extrema
arcsine function
42. The set of points in a plane that are equidistant from a given point
circle
origin
differentiability
tangent line
43. A line through two points on the curve
minimum
limit of integration
coefficient
secant line
44. A function that is defined by applying different formulas to different parts of its domain
piecewise-defined function
concave up
limit of integration
constant function
45. In periodic functions - the height of the function at the maximum to the middle line
concave down
critical point
normal line
amplitude
46. The reciprocal of the sine function
maximum
instantaneous velocity
y-intercept
cosecant function
47. The horizontal axis of the Cartesian coordinate system
discontinuity
x-axis
cross-sectional area
slope
48. The highest value of a function for each value of the domain
right-hand sum
tangent line
maximum
differentiability
49. The number which - when raised to the power of a given logarithm - produces a given number
linear approximation
right-hand limit
base (exponential and logarithmic)
integrable function
50. A segment from the center of the circle to a point on the circle
radius of a circle
relative maximum
antiderivative
limit