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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. f(-x)= -f(x)
base (exponential and logarithmic)
odd function
limit
critical point
2. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
instantaneous velocity
relative maximum
concave down
first derivative test
3. The process of evaluating an indefinite integral
antidifferentiation
continuous function
middle sum
concave down
4. The reciprocal of the sine function
extrenum
integrand
cosecant function
relative minimum
5. The inverse of the tangent function
tangent line
arctangent function
relative minimum
approximation
6. Local maximums of minimums of a function
zero of a function
absolute maximum
slope
local extrema
7. The process by which an antiderivative is calculated
antidifferentiation
linear approximation
integration
first derivative test
8. For all x in [a -b] - f'(x)>0
approximation
coefficient
minimum
increasing on an interval
9. A function f that gives the position f(t) of a body on a coordinate axis at time t
x-intercept
position function
origin
continuity on an interval
10. A function that is a fixed numerical value for all elements of the domain of the function
exponential function
axis of rotation
constant function
antiderivative
11. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
second derivative test
cross-sectional area
differentiation
minimum
12. 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)
region (in a plane)
cross-sectional area
linear function
tangent line
13. 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
right-hand limit
second derivative test
14. A line through two points on the curve
secant function
secant line
right-hand limit
dy/dx (Leibniz notation)
15. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
prime notation
relative minimum
amplitude
sine function
16. The absolute value or magnitude of velocity
chain rule
speed
cosine function
velocity
17. The differentiation of an implicit function with respect to the independent variable
implicit differentiation
sine function
continuous function
increasing on an interval
18. An indefinite integral. an arbitrary constant '+c' is included
cotangent function
discontinuity
integration by substitution
antiderivative
19. The reciprocal of the tangent function
extrenum
cotangent function
origin
related rates
20. If a function has a well-defined derivative for each element of the domain
product rule
secant line
differentiability
axis of symmetry
21. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
sine function
absolute minimum
right-hand limit
secant function
22. An arbitrary constant term in the expression of the indefinite integral of a function
tangent line
constant of integration
constant function
right-hand limit
23. The x-coordinate of the point where a curve intersects the x-axis
decreasing on an interval
x-intercept
origin
sine function
24. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
first derivative test
y-axis
absolute maximum
limit
25. 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
integration
chain rule
radius of a circle
slope
26. In an application - maximizing or minimizing some aspect of the system being modeled
decreasing on an interval
optimization
normal line
differentiation
27. A number which serves as an estimate of a desired number
tangent line
approximation
linear function
continuous function
28. The horizontal axis of the Cartesian coordinate system
separable differential equation
x-axis
differentiability
relative minimum
29. Any ordered pair (x -y) where f'(x)=0 or is undefined
optimization
dy/dx (Leibniz notation)
inflection point
critical point
30. The set of all values that can be assumed by the independent variable of a function
cross-sectional area
optimization
domain
dy/dx (Leibniz notation)
31. A method of obtaining the derivative of a composite function
constant of integration
arctangent function
axis of symmetry
chain rule
32. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
decreasing on an interval
limit
linear approximation
coefficient
33. 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
x-intercept
local extrema
linear approximation
34. For all x in [a -b] - f'(x)<0
decreasing on an interval
sine function
continuity at a point
local linearization
35. The rate of change of position with respect to time
velocity
trapezoidal rule
second derivative test
prime notation
36. A function has a relative maximum if the derivative changes signs from positive to zero to negative
secant line
amplitude
slope
relative maximum
37. 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
right-hand limit
secant function
root of an equation
exponential function
38. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
region (in a plane)
optimization
indefinite integral
base (exponential and logarithmic)
39. A line around which a geometric figure is symmetrical
integration by substitution
axis of symmetry
second derivative
second derivative test
40. A=x=b
zero of a function
region (in a plane)
closed interval [a -b]
origin
41. 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
rate of change
instantaneous rate of change
dy/dx (Leibniz notation)
integrable function
42. The point (0 -0) in the Cartesian coordinate plane
origin
critical value
closed interval [a -b]
secant line
43. The inverse of the cosine function
continuity at a point
first derivative test
arccosine function
concave down
44. The vertical axis of the Cartesian coordinate system
secant function
continuity at a point
y-axis
x-intercept
45. In integrating composite function - either using pattern recognition or change of variables to perform the integration
antiderivative
right-hand limit
integration by substitution
local extrema
46. The inverse of the sine function
arctangent function
sine function
slope
arcsine function
47. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
definite integral
cosecant function
critical value
velocity
48. The function y=lnx is the inverse of the exponential function y=e^x
axis of rotation
middle sum
natural logarithm
limit of integration
49. The limit of f as x approaches c from the right
local extrema
chain rule
right-hand limit
circle
50. The set of points in a plane that are equidistant from a given point
circle
absolute maximum
optimization
prime notation