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