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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 derivative of the first derivative
second derivative
domain
approximation
product rule
2. For all x in [a -b] - f'(x)<0
decreasing on an interval
minimum
product rule
right-hand sum
3. The horizontal axis of the Cartesian coordinate system
radius of a circle
local linearization
secant function
x-axis
4. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
prime notation
x-intercept
cotangent function
continuity at a point
5. 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
continuous function
prime notation
discontinuity
zero of a function
6. 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
origin
critical point
chain rule
7. A function such that the following is true
continuous function
speed
discontinuity
implicit differentiation
8. A function that is a fixed numerical value for all elements of the domain of the function
base (exponential and logarithmic)
prime notation
constant function
instantaneous rate of change
9. The function that is integrated in an integral
chain rule
axis of symmetry
left-hand sum
integrand
10. The amount of change divided by the time it takes
absolute maximum
rate of change
optimization
domain
11. A function that possesses a finite integral; the function must be continuous on the interval of integration
antiderivative
position function
integrable function
concave up
12. The smallest value of a function for each value of the domain
minimum
antidifferentiation
cosecant function
instantaneous rate of change
13. The local and global maximums and minumums of a function
integrable function
arctangent function
domain
extrenum
14. 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
dy/dx (Leibniz notation)
related rates
secant function
15. The process by which an antiderivative is calculated
left-hand sum
arctangent function
integration
absolute minimum
16. A line perpendicular to a tangent line at the point of tangency
slope
normal line
domain
arccosine function
17. A function that is defined by applying different formulas to different parts of its domain
decreasing on an interval
inflection point
tangent function
piecewise-defined function
18. Notation used for the first derivative of a function
chain rule
dy/dx (Leibniz notation)
continuity on an interval
critical value
19. 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
instantaneous rate of change
extrenum
axis of symmetry
constant of integration
20. The inverse of the tangent function
average rate of change
arctangent function
limit
position function
21. The inverse of the cosine function
amplitude
trapezoidal rule
arccosine function
piecewise-defined function
22. An indefinite integral. an arbitrary constant '+c' is included
definite integral
antiderivative
left-hand sum
limit of integration
23. 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
amplitude
increasing on an interval
separable differential equation
24. A point where a function changes concavity; also - where the second derivative changes signs
instantaneous rate of change
critical point
inflection point
natural logarithm
25. The ratio x/r with r being the distance of (x -y) from the origin
slope
absolute maximum
cosine function
y-axis
26. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
amplitude
speed
slope
definite integral
27. If a function has a well-defined derivative for each element of the domain
definite integral
approximation
differentiability
secant line
28. The function y=lnx is the inverse of the exponential function y=e^x
root of an equation
speed
natural logarithm
tangent line
29. A function has a relative minimum if the derivative changes signs from negative to zero to positive
relative minimum
circle
constant of integration
origin
30. Any function closely related to the exponential function - and in particular y=a^x - for any a
slope
left-hand sum
exponential function
amplitude
31. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
velocity
sine function
optimization
axis of rotation
32. A segment from the center of the circle to a point on the circle
radius of a circle
amplitude
odd function
maximum
33. 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
region (in a plane)
trapezoidal rule
continuity on an interval
slope
34. 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
cross-sectional area
second derivative
local linearization
35. Any x values where f'(x)=0 or is undefined
critical value
zero of a function
chain rule
acceleration
36. In integrating composite function - either using pattern recognition or change of variables to perform the integration
integration by substitution
maximum
implicit differentiation
decreasing on an interval
37. The y-coordinate of a point where a curve intersects the y-axis
root of an equation
piecewise-defined function
approximation
y-intercept
38. The inverse of the sine function
concave up
arcsine function
second derivative test
concave down
39. Any ordered pair (x -y) where f'(x)=0 or is undefined
x-axis
root of an equation
related rates
critical point
40. Having a decreasing derivative as the independent variable increases; having a negative second derivative
concave down
arctangent function
extrenum
cotangent function
41. 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
acceleration
continuity at a point
right-hand sum
differentiation
42. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute maximum
odd function
coefficient
minimum
43. The highest value of a function for each value of the domain
maximum
continuity on an interval
product rule
circle
44. 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
separable differential equation
relative minimum
maximum
x-axis
45. A line through two points on the curve
tangent function
cross-sectional area
secant line
domain
46. In periodic functions - the height of the function at the maximum to the middle line
concave up
amplitude
separable differential equation
cross-sectional area
47. 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 left-most point of the sub-interval
axis of rotation
optimization
left-hand sum
coefficient
48. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute minimum
concave up
minimum
critical value
49. A=x=b
closed interval [a -b]
axis of symmetry
limit
solid of revolution
50. The set of all values that can be assumed by the independent variable of a function
domain
tangent line
inflection point
amplitude