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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 rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
integration by substitution
definite integral
instantaneous velocity
coefficient
2. 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
first derivative test
critical point
integrable function
antidifferentiation
3. In an application - maximizing or minimizing some aspect of the system being modeled
closed interval [a -b]
limit
optimization
indefinite integral
4. The ratio x/r with r being the distance of (x -y) from the origin
optimization
cross-sectional area
cosine function
y-axis
5. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
cross-sectional area
decreasing on an interval
separable differential equation
indefinite integral
6. A function has a relative minimum if the derivative changes signs from negative to zero to positive
antiderivative
instantaneous velocity
maximum
relative minimum
7. For all x in [a -b] - f'(x)<0
natural logarithm
acceleration
decreasing on an interval
arcsine function
8. The reciprocal of the tangent function
absolute maximum
axis of rotation
cotangent function
instantaneous rate of change
9. 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)
separable differential equation
speed
tangent line
instantaneous velocity
10. The x-coordinate of the point where a curve intersects the x-axis
average rate of change
x-intercept
indefinite integral
origin
11. A segment from the center of the circle to a point on the circle
antidifferentiation
middle sum
radius of a circle
acceleration
12. In integrating composite function - either using pattern recognition or change of variables to perform the integration
right-hand limit
cross-sectional area
critical point
integration by substitution
13. If a function has a well-defined derivative for each element of the domain
differentiability
limit of integration
piecewise-defined function
integration by substitution
14. The smallest value of a function for each value of the domain
region (in a plane)
minimum
closed interval [a -b]
optimization
15. 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
integration
radius of a circle
x-intercept
slope
16. A function that is continuous on both the left and right side at that point
continuity at a point
left-hand sum
domain
region (in a plane)
17. Having an increasing derivative as the independent variable increases - having a positive second derivative
concave up
continuity on an interval
position function
linear function
18. The inverse of the tangent function
piecewise-defined function
axis of symmetry
arctangent function
concave up
19. The set of all values that can be assumed by the independent variable of a function
cosecant function
region (in a plane)
absolute maximum
domain
20. 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
y-axis
indefinite integral
instantaneous rate of change
constant function
21. A=x=b
second derivative
extrenum
y-intercept
closed interval [a -b]
22. The absolute value or magnitude of velocity
speed
exponential function
maximum
antiderivative
23. A line through two points on the curve
secant line
continuity at a point
slope
piecewise-defined function
24. A function that is defined by applying different formulas to different parts of its domain
piecewise-defined function
discontinuity
absolute maximum
arctangent function
25. A number which serves as an estimate of a desired number
amplitude
approximation
base (exponential and logarithmic)
coefficient
26. Slope between two points on a function
normal line
average rate of change
secant function
limit
27. The rate of change of the velocity with respect to time. the second derivative of a position function
differentiation
arctangent function
acceleration
critical point
28. A function has a relative maximum if the derivative changes signs from positive to zero to negative
secant function
differentiability
local linearization
relative maximum
29. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
amplitude
local linearization
discontinuity
definite integral
30. The inverse of the sine function
natural logarithm
arcsine function
origin
critical value
31. A function that possesses a finite integral; the function must be continuous on the interval of integration
product rule
limit
integrable function
cosecant function
32. Either of the endpoints of an interval over which a definite integral is to be evaluated
limit of integration
integration by substitution
right-hand sum
axis of rotation
33. Any ordered pair (x -y) where f'(x)=0 or is undefined
critical point
integrable function
constant function
implicit differentiation
34. The differentiation of an implicit function with respect to the independent variable
implicit differentiation
natural logarithm
product rule
critical value
35. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
y-axis
local linearization
origin
tangent function
36. The highest value of a function for each value of the domain
cotangent function
average rate of change
local extrema
maximum
37. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
antiderivative
product rule
critical point
secant line
38. The reciprocal of the sine function
tangent line
x-axis
secant function
cosecant function
39. The inverse of the cosine function
concave down
middle sum
extrenum
arccosine function
40. Any x values where f'(x)=0 or is undefined
relative minimum
first derivative test
concave down
critical value
41. A function that is a fixed numerical value for all elements of the domain of the function
dy/dx (Leibniz notation)
decreasing on an interval
constant function
tangent function
42. 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
instantaneous rate of change
velocity
discontinuity
x-axis
43. The set of points in a plane that are equidistant from a given point
limit
circle
position function
separable differential equation
44. 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
related rates
prime notation
product rule
concave up
45. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
second derivative test
critical value
origin
linear approximation
46. 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
middle sum
x-intercept
arcsine function
antidifferentiation
47. The function y=lnx is the inverse of the exponential function y=e^x
axis of symmetry
natural logarithm
product rule
integrable function
48. The point (0 -0) in the Cartesian coordinate plane
continuous function
increasing on an interval
maximum
origin
49. An arbitrary constant term in the expression of the indefinite integral of a function
maximum
absolute maximum
constant of integration
related rates
50. Local maximums of minimums of a function
limit
chain rule
continuity on an interval
local extrema