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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 vertical axis of the Cartesian coordinate system
coefficient
y-axis
chain rule
product rule
2. A function that possesses a finite integral; the function must be continuous on the interval of integration
secant line
region (in a plane)
maximum
integrable function
3. A function that is continuous on both the left and right side at that point
x-intercept
exponential function
coefficient
continuity at a point
4. The absolute value or magnitude of velocity
linear approximation
speed
integrand
trapezoidal rule
5. f(-x)= -f(x)
odd function
axis of symmetry
right-hand sum
relative maximum
6. The reciprocal of the tangent function
cotangent function
arcsine function
base (exponential and logarithmic)
sine function
7. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
integrand
linear approximation
continuity on an interval
constant of integration
8. A line perpendicular to a tangent line at the point of tangency
normal line
continuous function
radius of a circle
integration by substitution
9. The y-coordinate of a point where a curve intersects the y-axis
decreasing on an interval
local linearization
antidifferentiation
y-intercept
10. The amount of change divided by the time it takes
cross-sectional area
chain rule
optimization
rate of change
11. 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
root of an equation
optimization
arcsine function
coefficient
12. The rate of change of position with respect to time
optimization
velocity
acceleration
axis of symmetry
13. The limit of f as x approaches c from the right
right-hand limit
extrenum
differentiability
rate of change
14. Notation used for the first derivative of a function
dy/dx (Leibniz notation)
zero of a function
integrable function
slope
15. Any function closely related to the exponential function - and in particular y=a^x - for any a
critical value
x-axis
exponential function
approximation
16. Any ordered pair (x -y) where f'(x)=0 or is undefined
x-intercept
rate of change
critical point
arcsine function
17. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
base (exponential and logarithmic)
implicit differentiation
linear approximation
product rule
18. The inverse of the cosine function
natural logarithm
arccosine function
separable differential equation
tangent line
19. A number which serves as an estimate of a desired number
region (in a plane)
absolute maximum
odd function
approximation
20. A function has a relative minimum if the derivative changes signs from negative to zero to positive
average rate of change
region (in a plane)
right-hand sum
relative minimum
21. Slope between two points on a function
linear approximation
average rate of change
solid of revolution
slope
22. The derivative of the first derivative
left-hand sum
second derivative
antiderivative
absolute minimum
23. The local and global maximums and minumums of a function
absolute minimum
continuity on an interval
exponential function
extrenum
24. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
closed interval [a -b]
right-hand limit
separable differential equation
absolute minimum
25. A line around which some body or curve rotates
piecewise-defined function
approximation
axis of rotation
continuous function
26. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
continuity at a point
relative maximum
zero of a function
exponential function
27. The inverse of the tangent function
right-hand sum
arctangent function
dy/dx (Leibniz notation)
axis of rotation
28. 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
linear function
tangent function
instantaneous rate of change
constant of integration
29. For all x in [a -b] - f'(x)>0
position function
increasing on an interval
approximation
continuity at a point
30. 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)
related rates
piecewise-defined function
tangent line
solid of revolution
31. The process by which an antiderivative is calculated
instantaneous rate of change
integration
concave down
linear approximation
32. The smallest value of a function for each value of the domain
cosine function
origin
differentiability
minimum
33. The differentiation of an implicit function with respect to the independent variable
implicit differentiation
absolute maximum
approximation
concave up
34. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
discontinuity
domain
indefinite integral
differentiation
35. The inverse of the sine function
arcsine function
rate of change
amplitude
integration by substitution
36. A function f that gives the position f(t) of a body on a coordinate axis at time t
constant function
position function
approximation
second derivative test
37. A line through two points on the curve
relative minimum
cosine function
separable differential equation
secant line
38. 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
absolute maximum
middle sum
right-hand sum
normal line
39. The function y=lnx is the inverse of the exponential function y=e^x
left-hand sum
antiderivative
sine function
natural logarithm
40. A function that is a fixed numerical value for all elements of the domain of the function
sine function
constant function
dy/dx (Leibniz notation)
critical point
41. A function that is defined by applying different formulas to different parts of its domain
instantaneous rate of change
differentiability
piecewise-defined function
axis of rotation
42. 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
second derivative test
secant line
instantaneous rate of change
tangent function
43. An arbitrary constant term in the expression of the indefinite integral of a function
integrand
optimization
concave up
constant of integration
44. Either of the endpoints of an interval over which a definite integral is to be evaluated
continuous function
product rule
base (exponential and logarithmic)
limit of integration
45. 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
minimum
rate of change
absolute maximum
46. A function that can be expressed in the form f(x)=mx+b
linear function
limit of integration
y-intercept
concave up
47. The set of all values that can be assumed by the independent variable of a function
domain
minimum
piecewise-defined function
constant function
48. 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
minimum
root of an equation
average rate of change
related rates
49. 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
exponential function
related rates
minimum
inflection point
50. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
solid of revolution
region (in a plane)
critical point
y-intercept