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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 process by which an antiderivative is calculated
integrand
cross-sectional area
arccosine function
integration
2. A line around which a geometric figure is symmetrical
second derivative test
axis of symmetry
local extrema
secant line
3. 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
solid of revolution
constant function
piecewise-defined function
4. A line through two points on the curve
relative minimum
left-hand sum
secant line
x-intercept
5. The number which - when raised to the power of a given logarithm - produces a given number
root of an equation
base (exponential and logarithmic)
differentiability
relative maximum
6. The inverse of the cosine function
chain rule
arccosine function
acceleration
concave up
7. 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
implicit differentiation
critical value
related rates
natural logarithm
8. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
absolute maximum
definite integral
integrable function
sine function
9. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
average rate of change
circle
absolute minimum
domain
10. The absolute value or magnitude of velocity
speed
arccosine function
optimization
integration
11. 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
y-axis
indefinite integral
first derivative test
tangent line
12. 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
concave up
differentiability
middle sum
discontinuity
13. The differentiation of an implicit function with respect to the independent variable
coefficient
middle sum
implicit differentiation
origin
14. The vertical axis of the Cartesian coordinate system
constant of integration
y-axis
axis of symmetry
acceleration
15. The solid figure generated by revolving a plane region around a line
solid of revolution
second derivative
sine function
natural logarithm
16. The point (0 -0) in the Cartesian coordinate plane
origin
second derivative test
dy/dx (Leibniz notation)
second derivative
17. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
linear approximation
instantaneous velocity
closed interval [a -b]
product rule
18. A point where a function changes concavity; also - where the second derivative changes signs
second derivative
inflection point
circle
instantaneous rate of change
19. A method of obtaining the derivative of a composite function
arctangent function
chain rule
constant function
tangent function
20. The rate of change of position with respect to time
local extrema
velocity
instantaneous velocity
absolute minimum
21. For all x in [a -b] - f'(x)>0
y-axis
increasing on an interval
chain rule
position function
22. In periodic functions - the height of the function at the maximum to the middle line
amplitude
axis of symmetry
absolute maximum
region (in a plane)
23. The highest value of a function for each value of the domain
speed
differentiation
definite integral
maximum
24. The y-coordinate of a point where a curve intersects the y-axis
local extrema
right-hand limit
y-intercept
indefinite integral
25. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
first derivative test
arcsine function
antiderivative
26. The limit of f as x approaches c from the right
right-hand limit
implicit differentiation
cotangent function
constant of integration
27. The process of evaluating an indefinite integral
y-axis
right-hand limit
middle sum
antidifferentiation
28. An arbitrary constant term in the expression of the indefinite integral of a function
integration
cosecant function
right-hand sum
constant of integration
29. Either of the endpoints of an interval over which a definite integral is to be evaluated
axis of symmetry
continuity on an interval
limit of integration
differentiability
30. A=x=b
closed interval [a -b]
implicit differentiation
decreasing on an interval
trapezoidal rule
31. 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
coefficient
concave up
left-hand sum
secant line
32. The inverse of the sine function
prime notation
domain
natural logarithm
arcsine function
33. Any function closely related to the exponential function - and in particular y=a^x - for any a
x-axis
exponential function
integrable function
amplitude
34. A line around which some body or curve rotates
minimum
critical value
axis of rotation
odd function
35. Any x values where f'(x)=0 or is undefined
extrenum
critical value
sine function
continuity at a point
36. The function that is integrated in an integral
integrand
slope
approximation
continuity on an interval
37. 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
right-hand sum
arcsine function
cross-sectional area
tangent function
38. A function has a relative maximum if the derivative changes signs from positive to zero to negative
minimum
relative maximum
indefinite integral
acceleration
39. The reciprocal of the tangent function
cotangent function
region (in a plane)
indefinite integral
right-hand sum
40. Having an increasing derivative as the independent variable increases - having a positive second derivative
velocity
concave up
minimum
chain rule
41. The reciprocal of the sine function
definite integral
cosecant function
approximation
y-intercept
42. The local and global maximums and minumums of a function
root of an equation
extrenum
normal line
arctangent function
43. Notation used for the first derivative of a function
instantaneous rate of change
dy/dx (Leibniz notation)
zero of a function
arctangent function
44. For all x in [a -b] - f'(x)<0
maximum
rate of change
constant of integration
decreasing on an interval
45. f(-x)= -f(x)
odd function
cosecant function
critical point
discontinuity
46. A function such that the following is true
continuous function
integrable function
optimization
acceleration
47. The rate of change of the velocity with respect to time. the second derivative of a position function
optimization
acceleration
odd function
x-axis
48. A function f that gives the position f(t) of a body on a coordinate axis at time t
critical point
arctangent function
position function
optimization
49. 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)
tangent line
minimum
absolute maximum
increasing on an interval
50. The inverse of the tangent function
amplitude
limit of integration
absolute maximum
arctangent function