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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. 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
cosine function
related rates
extrenum
tangent function
2. A line perpendicular to a tangent line at the point of tangency
linear approximation
coefficient
critical value
normal line
3. The limit of f as x approaches c from the right
secant function
cosine function
arcsine function
right-hand limit
4. An arbitrary constant term in the expression of the indefinite integral of a function
differentiation
chain rule
constant of integration
root of an equation
5. The set of all values that can be assumed by the independent variable of a function
domain
indefinite integral
minimum
limit of integration
6. A line around which a geometric figure is symmetrical
integration
differentiation
axis of symmetry
speed
7. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
position function
inflection point
differentiability
absolute maximum
8. The vertical axis of the Cartesian coordinate system
y-axis
dy/dx (Leibniz notation)
concave down
speed
9. A line around which some body or curve rotates
related rates
axis of rotation
amplitude
implicit differentiation
10. The process by which an antiderivative is calculated
integration
exponential function
slope
speed
11. The point (0 -0) in the Cartesian coordinate plane
tangent function
origin
natural logarithm
second derivative
12. A point where a function changes concavity; also - where the second derivative changes signs
definite integral
increasing on an interval
inflection point
cross-sectional area
13. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
definite integral
cosine function
integration by substitution
related rates
14. Slope between two points on a function
arctangent function
average rate of change
approximation
first derivative test
15. A function that can be expressed in the form f(x)=mx+b
concave up
cross-sectional area
right-hand limit
linear function
16. A function f that gives the position f(t) of a body on a coordinate axis at time t
minimum
arccosine function
domain
position function
17. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
differentiability
right-hand sum
prime notation
amplitude
18. For all x in [a -b] - f'(x)>0
position function
x-intercept
increasing on an interval
root of an equation
19. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
linear approximation
origin
approximation
trapezoidal rule
20. 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
trapezoidal rule
origin
separable differential equation
tangent line
21. A function that is a fixed numerical value for all elements of the domain of the function
exponential function
axis of rotation
secant line
constant function
22. The inverse of the cosine function
slope
arccosine function
critical value
y-intercept
23. 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
absolute minimum
region (in a plane)
secant function
tangent function
24. A function that is continuous at every point on the interval
constant function
instantaneous rate of change
chain rule
continuity on an interval
25. The horizontal axis of the Cartesian coordinate system
x-axis
x-intercept
inflection point
position function
26. The rate of change of the velocity with respect to time. the second derivative of a position function
integration by substitution
acceleration
decreasing on an interval
arctangent function
27. In periodic functions - the height of the function at the maximum to the middle line
relative minimum
right-hand sum
right-hand limit
amplitude
28. In an application - maximizing or minimizing some aspect of the system being modeled
integration by substitution
root of an equation
optimization
arccosine function
29. A segment from the center of the circle to a point on the circle
piecewise-defined function
tangent function
radius of a circle
arctangent function
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)
tangent line
inflection point
approximation
left-hand sum
31. Any ordered pair (x -y) where f'(x)=0 or is undefined
limit of integration
closed interval [a -b]
radius of a circle
critical point
32. The inverse of the sine function
arcsine function
indefinite integral
left-hand sum
cross-sectional area
33. The process of evaluating an indefinite integral
differentiation
antidifferentiation
normal line
differentiability
34. A=x=b
average rate of change
relative minimum
closed interval [a -b]
arctangent function
35. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
product rule
position function
cosecant function
approximation
36. Notation used for the first derivative of a function
right-hand sum
x-axis
piecewise-defined function
dy/dx (Leibniz notation)
37. The set of points in a plane that are equidistant from a given point
circle
integration
root of an equation
odd function
38. The reciprocal of the sine function
cosecant function
secant function
differentiation
middle sum
39. Having a decreasing derivative as the independent variable increases; having a negative second derivative
arctangent function
cotangent function
concave down
local extrema
40. 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.
axis of symmetry
second derivative test
normal line
second derivative
41. If a function has a well-defined derivative for each element of the domain
differentiability
base (exponential and logarithmic)
first derivative test
instantaneous velocity
42. A function that is defined by applying different formulas to different parts of its domain
piecewise-defined function
slope
root of an equation
integrable function
43. f(-x)= -f(x)
local extrema
coefficient
odd function
secant line
44. A function that is continuous on both the left and right side at that point
velocity
odd function
continuity at a point
integrable function
45. 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
slope
cosecant function
relative minimum
trapezoidal rule
46. The amount of change divided by the time it takes
solid of revolution
root of an equation
rate of change
antidifferentiation
47. 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
product rule
continuous function
chain rule
root of an equation
48. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
amplitude
right-hand limit
circle
region (in a plane)
49. 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
secant line
normal line
local linearization
coefficient
50. The function y=lnx is the inverse of the exponential function y=e^x
approximation
sine function
natural logarithm
axis of rotation