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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. Any ordered pair (x -y) where f'(x)=0 or is undefined
concave down
dy/dx (Leibniz notation)
critical point
linear function
2. The rate of change of position with respect to time
secant function
rate of change
left-hand sum
velocity
3. The smallest value of a function for each value of the domain
minimum
continuity on an interval
arcsine function
region (in a plane)
4. If a function has a well-defined derivative for each element of the domain
cotangent function
differentiability
average rate of change
increasing on an interval
5. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
prime notation
acceleration
critical point
right-hand sum
6. 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
origin
continuity on an interval
integration by substitution
tangent function
7. In an application - maximizing or minimizing some aspect of the system being modeled
optimization
tangent function
tangent line
critical point
8. The process by which an antiderivative is calculated
antidifferentiation
integration
y-intercept
speed
9. The number which - when raised to the power of a given logarithm - produces a given number
arctangent function
minimum
base (exponential and logarithmic)
integration by substitution
10. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
cosine function
zero of a function
odd function
limit
11. A number which serves as an estimate of a desired number
cotangent function
approximation
arccosine function
minimum
12. The differentiation of an implicit function with respect to the independent variable
velocity
implicit differentiation
continuity on an interval
minimum
13. The y-coordinate of a point where a curve intersects the y-axis
extrenum
local linearization
y-intercept
tangent line
14. In periodic functions - the height of the function at the maximum to the middle line
amplitude
radius of a circle
region (in a plane)
critical value
15. A function has a relative minimum if the derivative changes signs from negative to zero to positive
piecewise-defined function
relative minimum
integration by substitution
odd function
16. In integrating composite function - either using pattern recognition or change of variables to perform the integration
integration by substitution
middle sum
differentiation
indefinite integral
17. Any function closely related to the exponential function - and in particular y=a^x - for any a
exponential function
left-hand sum
approximation
extrenum
18. The process of finding the derivative of a function
arcsine function
differentiation
approximation
linear function
19. For all x in [a -b] - f'(x)<0
integrable function
decreasing on an interval
arctangent function
circle
20. An indefinite integral. an arbitrary constant '+c' is included
antidifferentiation
coefficient
continuous function
antiderivative
21. A method of obtaining the derivative of a composite function
constant of integration
chain rule
dy/dx (Leibniz notation)
critical value
22. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute maximum
minimum
circle
critical value
23. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
relative minimum
cross-sectional area
cotangent function
domain
24. 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.
circle
second derivative test
velocity
piecewise-defined function
25. f(-x)= -f(x)
chain rule
odd function
cross-sectional area
circle
26. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
product rule
relative maximum
acceleration
sine function
27. The function y=lnx is the inverse of the exponential function y=e^x
natural logarithm
maximum
circle
discontinuity
28. A function f that gives the position f(t) of a body on a coordinate axis at time t
position function
amplitude
continuity at a point
speed
29. A segment from the center of the circle to a point on the circle
radius of a circle
middle sum
axis of rotation
optimization
30. The ratio x/r with r being the distance of (x -y) from the origin
sine function
arccosine function
increasing on an interval
cosine function
31. 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)
axis of rotation
second derivative
tangent line
optimization
32. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
minimum
definite integral
inflection point
relative maximum
33. The highest value of a function for each value of the domain
linear function
dy/dx (Leibniz notation)
maximum
tangent function
34. A point where a function changes concavity; also - where the second derivative changes signs
relative minimum
inflection point
product rule
increasing on an interval
35. A function has a relative maximum if the derivative changes signs from positive to zero to negative
cross-sectional area
second derivative
relative maximum
axis of rotation
36. 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.
chain rule
speed
trapezoidal rule
cotangent function
37. Slope between two points on a function
tangent line
first derivative test
average rate of change
absolute maximum
38. The function that is integrated in an integral
integrand
arcsine function
constant of integration
amplitude
39. A line perpendicular to a tangent line at the point of tangency
second derivative test
normal line
y-axis
tangent function
40. 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
piecewise-defined function
extrenum
maximum
41. Having a decreasing derivative as the independent variable increases; having a negative second derivative
concave down
left-hand sum
indefinite integral
relative maximum
42. A function that is continuous on both the left and right side at that point
secant function
definite integral
velocity
continuity at a point
43. The x-coordinate of the point where a curve intersects the x-axis
continuous function
approximation
optimization
x-intercept
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
product rule
separable differential equation
relative minimum
natural logarithm
45. A line through two points on the curve
second derivative test
secant line
local linearization
continuous function
46. A function that is a fixed numerical value for all elements of the domain of the function
constant function
solid of revolution
antiderivative
secant function
47. The rate of change of the velocity with respect to time. the second derivative of a position function
cosine function
acceleration
arctangent function
right-hand sum
48. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
related rates
natural logarithm
region (in a plane)
secant line
49. The process of evaluating an indefinite integral
antidifferentiation
decreasing on an interval
constant of integration
middle sum
50. The inverse of the sine function
antidifferentiation
arcsine function
chain rule
concave down