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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. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
zero of a function
y-intercept
absolute minimum
absolute maximum
2. The reciprocal of the tangent function
axis of rotation
second derivative
cotangent function
differentiability
3. A method of obtaining the derivative of a composite function
second derivative test
local linearization
chain rule
concave up
4. 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
differentiability
amplitude
axis of symmetry
5. If a function has a well-defined derivative for each element of the domain
instantaneous rate of change
differentiability
domain
amplitude
6. A line perpendicular to a tangent line at the point of tangency
rate of change
related rates
right-hand sum
normal line
7. The inverse of the cosine function
arccosine function
piecewise-defined function
second derivative
amplitude
8. 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
antiderivative
root of an equation
continuity at a point
local extrema
9. The ratio x/r with r being the distance of (x -y) from the origin
separable differential equation
continuity on an interval
domain
cosine function
10. A function f that gives the position f(t) of a body on a coordinate axis at time t
cosine function
normal line
cosecant function
position function
11. The limit of f as x approaches c from the right
right-hand limit
position function
second derivative test
circle
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)
relative minimum
increasing on an interval
separable differential equation
tangent line
13. The reciprocal of the sine function
circle
odd function
cosecant function
arccosine function
14. A function that is continuous at every point on the interval
continuity on an interval
extrenum
relative minimum
increasing on an interval
15. A=x=b
inflection point
limit
closed interval [a -b]
tangent line
16. In periodic functions - the height of the function at the maximum to the middle line
prime notation
amplitude
right-hand sum
arctangent function
17. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
first derivative test
average rate of change
instantaneous velocity
y-intercept
18. The x-coordinate of the point where a curve intersects the x-axis
arctangent function
x-intercept
cosine function
integration
19. 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
tangent function
concave up
tangent line
critical value
20. The process of finding the derivative of a function
continuity at a point
root of an equation
differentiation
discontinuity
21. A line through two points on the curve
critical point
x-axis
normal line
secant line
22. A function has a relative minimum if the derivative changes signs from negative to zero to positive
root of an equation
antiderivative
zero of a function
relative minimum
23. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
region (in a plane)
indefinite integral
antiderivative
integration
24. 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.
amplitude
secant line
rate of change
second derivative test
25. The solid figure generated by revolving a plane region around a line
secant function
secant line
solid of revolution
odd function
26. 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
region (in a plane)
middle sum
acceleration
local extrema
27. A segment from the center of the circle to a point on the circle
continuity on an interval
indefinite integral
linear function
radius of a circle
28. 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
constant function
product rule
solid of revolution
29. Either of the endpoints of an interval over which a definite integral is to be evaluated
constant of integration
approximation
cross-sectional area
limit of integration
30. The y-coordinate of a point where a curve intersects the y-axis
y-intercept
arctangent function
slope
region (in a plane)
31. A point where a function changes concavity; also - where the second derivative changes signs
inflection point
maximum
optimization
acceleration
32. A function that is a fixed numerical value for all elements of the domain of the function
constant function
integration
differentiation
continuity at a point
33. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
tangent function
sine function
definite integral
cotangent function
34. A function that is continuous on both the left and right side at that point
prime notation
dy/dx (Leibniz notation)
continuity at a point
cosine function
35. The inverse of the sine function
maximum
arcsine function
integrable function
continuous function
36. f(-x)= -f(x)
natural logarithm
second derivative
odd function
tangent line
37. The process of evaluating an indefinite integral
second derivative test
integrand
antidifferentiation
exponential function
38. Notation used for the first derivative of a function
extrenum
dy/dx (Leibniz notation)
continuity on an interval
relative maximum
39. A function such that the following is true
tangent line
chain rule
arctangent function
continuous function
40. The local and global maximums and minumums of a function
velocity
extrenum
first derivative test
product rule
41. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
cosine function
concave down
region (in a plane)
inflection point
42. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
differentiability
continuity on an interval
product rule
x-intercept
43. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
linear approximation
secant line
odd function
increasing on an interval
44. Any x values where f'(x)=0 or is undefined
critical value
average rate of change
solid of revolution
implicit differentiation
45. The rate of change of position with respect to time
velocity
piecewise-defined function
odd function
chain rule
46. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute maximum
decreasing on an interval
arcsine function
critical point
47. A function that is defined by applying different formulas to different parts of its domain
piecewise-defined function
natural logarithm
discontinuity
integrand
48. The point (0 -0) in the Cartesian coordinate plane
second derivative test
antiderivative
origin
indefinite integral
49. The highest value of a function for each value of the domain
region (in a plane)
limit of integration
instantaneous velocity
maximum
50. The process by which an antiderivative is calculated
speed
integration
limit of integration
extrenum