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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 reenforces your understanding as you take the test each time.
1. A line around which a geometric figure is symmetrical
axis of symmetry
integration
relative minimum
secant line
2. The process of evaluating an indefinite integral
separable differential equation
inflection point
antidifferentiation
righthand sum
3. The value that the function is approaching as x approaches a given value; the left and righthand limits must agree
continuity on an interval
instantaneous velocity
limit
first derivative test
4. 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.
local extrema
second derivative test
relative minimum
amplitude
5. The smallest yvalue that a function achieves. occurs either at a local maximum or an endpoint
definite integral
absolute minimum
extrenum
instantaneous velocity
6. The solid figure generated by revolving a plane region around a line
tangent line
local linearization
xintercept
solid of revolution
7. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
product rule
decreasing on an interval
concave down
optimization
8. Any function closely related to the exponential function  and in particular y=a^x  for any a
odd function
exponential function
tangent line
solid of revolution
9. 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 minimum
secant function
decreasing on an interval
10. A connected subset of twodimensional space  such as the set of points (x y) enclosed by equations of functions and boundary points
cotangent function
region (in a plane)
second derivative
integrand
11. The differentiation of an implicit function with respect to the independent variable
increasing on an interval
implicit differentiation
decreasing on an interval
secant function
12. The function that is integrated in an integral
lefthand sum
cosine function
limit of integration
integrand
13. The inverse of the cosine function
tangent line
constant of integration
arccosine function
region (in a plane)
14. Either of the endpoints of an interval over which a definite integral is to be evaluated
instantaneous velocity
axis of rotation
limit of integration
integrand
15. The point (0 0) in the Cartesian coordinate plane
discontinuity
arcsine function
decreasing on an interval
origin
16. The inverse of the tangent function
sine function
integration by substitution
instantaneous rate of change
arctangent function
17. A=x=b
arcsine function
average rate of change
closed interval [a b]
first derivative test
18. 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.
trapezoidal rule
sine function
continuity on an interval
differentiability
19. The set of points in a plane that are equidistant from a given point
odd function
indefinite integral
solid of revolution
circle
20. A rectangular sum of the area under a curve where the domain is divided into subintervals and the height of each rectangle is the function value at the leftmost point of the subinterval
prime notation
implicit differentiation
integrand
lefthand sum
21. Any x values where f'(x)=0 or is undefined
relative maximum
righthand sum
arcsine function
critical value
22. 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
normal line
first derivative test
coefficient
axis of symmetry
23. f(x)= f(x)
local linearization
continuity on an interval
odd function
cotangent function
24. A number which serves as an estimate of a desired number
approximation
prime notation
arctangent function
decreasing on an interval
25. A line perpendicular to a tangent line at the point of tangency
product rule
odd function
decreasing on an interval
normal line
26. The process of finding the derivative of a function
dy/dx (Leibniz notation)
linear function
constant of integration
differentiation
27. An integral without any specified limits  whose solution includes an undetermined constant C; antiderivative
integrand
limit
indefinite integral
xintercept
28. The horizontal axis of the Cartesian coordinate system
rate of change
middle sum
xaxis
velocity
29. An indefinite integral. an arbitrary constant '+c' is included
slope
instantaneous velocity
antiderivative
arcsine function
30. A rectangular sum of the area under a curve where the domain is divided into subintervals and the height of each rectangle is the function value at the midpoint of the subinterval
odd function
middle sum
prime notation
crosssectional area
31. Having an increasing derivative as the independent variable increases  having a positive second derivative
domain
arctangent function
concave up
natural logarithm
32. The greatest yvalue that a function achieves. occurs either at a local maximum or an endpoint
solid of revolution
xaxis
base (exponential and logarithmic)
absolute maximum
33. The rate of change of the velocity with respect to time. the second derivative of a position function
cotangent function
acceleration
average rate of change
radius of a circle
34. In an application  maximizing or minimizing some aspect of the system being modeled
natural logarithm
second derivative
optimization
acceleration
35. A line around which some body or curve rotates
axis of rotation
differentiation
continuity on an interval
instantaneous velocity
36. The local and global maximums and minumums of a function
antiderivative
extrenum
approximation
integration by substitution
37. A rectangular sum of the area under a curve where the domain is divided into subintervals and the height of each rectangle is the function value at the rightmost point of the subinterval
absolute minimum
trapezoidal rule
righthand sum
cosine function
38. A function that is continuous on both the left and right side at that point
arccosine function
solid of revolution
separable differential equation
continuity at a point
39. A function f that gives the position f(t) of a body on a coordinate axis at time t
instantaneous velocity
position function
arccosine function
antidifferentiation
40. The set of all values that can be assumed by the independent variable of a function
domain
concave down
second derivative
cosine function
41. The absolute value or magnitude of velocity
sine function
antidifferentiation
local extrema
speed
42. Any ordered pair (x y) where f'(x)=0 or is undefined
critical point
chain rule
related rates
amplitude
43. 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
linear function
absolute minimum
natural logarithm
44. In periodic functions  the height of the function at the maximum to the middle line
root of an equation
arcsine function
circle
amplitude
45. A function has a relative minimum if the derivative changes signs from negative to zero to positive
normal line
sine function
relative minimum
righthand sum
46. If y=f(x)  then both y' and f'(x) denote the derivative of the function with respect to x
average rate of change
discontinuity
prime notation
minimum
47. The xcoordinate of the point where a curve intersects the xaxis
exponential function
second derivative
xintercept
root of an equation
48. For all x in [a b]  f'(x)>0
increasing on an interval
limit of integration
approximation
axis of rotation
49. A function such that the following is true
yintercept
separable differential equation
local extrema
continuous function
50. For all x in [a b]  f'(x)<0
absolute maximum
arcsine function
instantaneous velocity
decreasing on an interval