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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 local and global maximums and minumums of a function
extrenum
natural logarithm
velocity
absolute maximum
2. A function that is continuous on both the left and right side at that point
instantaneous rate of change
maximum
y-axis
continuity at a point
3. The derivative of the first derivative
second derivative
definite integral
first derivative test
integration
4. The solid figure generated by revolving a plane region around a line
chain rule
solid of revolution
piecewise-defined function
domain
5. A function that can be expressed in the form f(x)=mx+b
linear function
second derivative
right-hand limit
base (exponential and logarithmic)
6. The reciprocal of the tangent function
cotangent function
continuous function
discontinuity
circle
7. A function that is continuous at every point on the interval
base (exponential and logarithmic)
approximation
discontinuity
continuity on an interval
8. 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
exponential function
separable differential equation
local extrema
right-hand sum
9. In integrating composite function - either using pattern recognition or change of variables to perform the integration
solid of revolution
root of an equation
circle
integration by substitution
10. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
differentiation
first derivative test
instantaneous velocity
critical value
11. A line perpendicular to a tangent line at the point of tangency
x-axis
prime notation
normal line
arcsine function
12. The function y=lnx is the inverse of the exponential function y=e^x
dy/dx (Leibniz notation)
absolute minimum
natural logarithm
left-hand sum
13. The rate of change of the velocity with respect to time. the second derivative of a position function
cross-sectional area
middle sum
concave down
acceleration
14. The absolute value or magnitude of velocity
absolute minimum
speed
dy/dx (Leibniz notation)
definite integral
15. The limit of f as x approaches c from the right
implicit differentiation
right-hand limit
continuity on an interval
trapezoidal rule
16. Having a decreasing derivative as the independent variable increases; having a negative second derivative
x-axis
linear approximation
right-hand sum
concave down
17. The set of points in a plane that are equidistant from a given point
circle
separable differential equation
linear function
chain rule
18. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
absolute minimum
product rule
region (in a plane)
zero of a function
19. The point (0 -0) in the Cartesian coordinate plane
differentiation
origin
absolute maximum
linear function
20. Having an increasing derivative as the independent variable increases - having a positive second derivative
domain
cotangent function
concave up
critical point
21. A function has a relative minimum if the derivative changes signs from negative to zero to positive
limit
discontinuity
relative minimum
amplitude
22. Slope between two points on a function
coefficient
normal line
critical point
average rate of change
23. f(-x)= -f(x)
piecewise-defined function
limit of integration
tangent function
odd function
24. Any x values where f'(x)=0 or is undefined
inflection point
critical value
critical point
solid of revolution
25. Notation used for the first derivative of a function
dy/dx (Leibniz notation)
velocity
odd function
concave down
26. The x-coordinate of the point where a curve intersects the x-axis
velocity
x-intercept
definite integral
integrable function
27. 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
domain
instantaneous velocity
coefficient
second derivative
28. In periodic functions - the height of the function at the maximum to the middle line
sine function
root of an equation
cross-sectional area
amplitude
29. The rate of change of position with respect to time
velocity
circle
implicit differentiation
tangent line
30. 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
integrand
piecewise-defined function
dy/dx (Leibniz notation)
discontinuity
31. 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
trapezoidal rule
continuity on an interval
right-hand sum
maximum
32. The inverse of the cosine function
secant function
middle sum
arccosine function
cotangent function
33. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
axis of symmetry
absolute maximum
optimization
rate of change
34. For all x in [a -b] - f'(x)>0
increasing on an interval
sine function
x-axis
arctangent function
35. A function such that the following is true
absolute maximum
continuous function
maximum
position function
36. A line around which a geometric figure is symmetrical
amplitude
y-axis
axis of symmetry
right-hand limit
37. The reciprocal of the sine function
cosecant function
integrand
critical value
odd function
38. 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
extrenum
middle sum
absolute minimum
slope
39. 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
relative maximum
antidifferentiation
right-hand limit
middle sum
40. A=x=b
closed interval [a -b]
slope
circle
definite integral
41. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
velocity
instantaneous velocity
prime notation
chain rule
42. The y-coordinate of a point where a curve intersects the y-axis
y-intercept
second derivative test
inflection point
slope
43. 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
minimum
speed
instantaneous rate of change
integrand
44. The reciprocal of the cosine function
axis of rotation
secant function
optimization
linear approximation
45. A line around which some body or curve rotates
axis of rotation
related rates
first derivative test
arccosine function
46. Either of the endpoints of an interval over which a definite integral is to be evaluated
limit of integration
cosine function
zero of a function
instantaneous velocity
47. The vertical axis of the Cartesian coordinate system
integration
y-intercept
y-axis
integrand
48. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
piecewise-defined function
arcsine function
tangent function
local linearization
49. A function that possesses a finite integral; the function must be continuous on the interval of integration
left-hand sum
approximation
x-intercept
integrable function
50. A line through two points on the curve
tangent line
critical point
secant line
inflection point