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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 horizontal axis of the Cartesian coordinate system
x-axis
closed interval [a -b]
local linearization
slope
2. Local maximums of minimums of a function
y-axis
local extrema
instantaneous velocity
velocity
3. A line around which a geometric figure is symmetrical
axis of symmetry
instantaneous velocity
second derivative
coefficient
4. 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
right-hand sum
inflection point
implicit differentiation
second derivative test
5. The point (0 -0) in the Cartesian coordinate plane
concave up
concave down
origin
odd function
6. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
prime notation
acceleration
approximation
integration by substitution
7. In an application - maximizing or minimizing some aspect of the system being modeled
critical point
optimization
local extrema
linear function
8. The reciprocal of the sine function
integration
separable differential equation
cosecant function
trapezoidal rule
9. 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
antidifferentiation
left-hand sum
limit
concave up
10. The limit of f as x approaches c from the right
antidifferentiation
left-hand sum
right-hand limit
critical value
11. The absolute value or magnitude of velocity
radius of a circle
integration
speed
y-axis
12. Any x values where f'(x)=0 or is undefined
root of an equation
absolute maximum
critical value
cosine function
13. The function y=lnx is the inverse of the exponential function y=e^x
natural logarithm
rate of change
chain rule
absolute maximum
14. The rate of change of position with respect to time
absolute maximum
critical value
continuity on an interval
velocity
15. A function has a relative minimum if the derivative changes signs from negative to zero to positive
velocity
second derivative
cotangent function
relative minimum
16. Slope between two points on a function
piecewise-defined function
average rate of change
dy/dx (Leibniz notation)
base (exponential and logarithmic)
17. A segment from the center of the circle to a point on the circle
zero of a function
arcsine function
absolute minimum
radius of a circle
18. 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
rate of change
prime notation
middle sum
left-hand sum
19. 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.
y-intercept
trapezoidal rule
relative minimum
root of an equation
20. A line through two points on the curve
dy/dx (Leibniz notation)
approximation
secant line
acceleration
21. Having a decreasing derivative as the independent variable increases; having a negative second derivative
absolute maximum
concave down
continuous function
arcsine function
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
arcsine function
minimum
sine function
cosine function
23. The inverse of the cosine function
right-hand limit
separable differential equation
arccosine function
minimum
24. 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
integrand
differentiability
right-hand sum
separable differential equation
25. A number which serves as an estimate of a desired number
cross-sectional area
solid of revolution
axis of rotation
approximation
26. A line perpendicular to a tangent line at the point of tangency
rate of change
odd function
normal line
critical point
27. 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
separable differential equation
closed interval [a -b]
tangent function
critical value
28. f(-x)= -f(x)
zero of a function
local linearization
discontinuity
odd function
29. A function that is a fixed numerical value for all elements of the domain of the function
extrenum
integration by substitution
constant function
velocity
30. The ratio x/r with r being the distance of (x -y) from the origin
separable differential equation
instantaneous rate of change
dy/dx (Leibniz notation)
cosine function
31. A function that can be expressed in the form f(x)=mx+b
arctangent function
right-hand sum
first derivative test
linear function
32. The highest value of a function for each value of the domain
circle
limit of integration
origin
maximum
33. The rate of change of the velocity with respect to time. the second derivative of a position function
differentiability
tangent function
right-hand limit
acceleration
34. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
tangent line
concave down
right-hand sum
instantaneous velocity
35. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
concave up
chain rule
absolute minimum
region (in a plane)
36. The amount of change divided by the time it takes
arctangent function
integrand
natural logarithm
rate of change
37. The derivative of the first derivative
second derivative
axis of rotation
linear approximation
continuity on an interval
38. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
implicit differentiation
definite integral
local linearization
second derivative
39. The set of all values that can be assumed by the independent variable of a function
minimum
closed interval [a -b]
domain
right-hand sum
40. 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
right-hand limit
slope
y-intercept
first derivative test
41. 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
coefficient
cross-sectional area
middle sum
42. The local and global maximums and minumums of a function
extrenum
average rate of change
velocity
closed interval [a -b]
43. The inverse of the sine function
critical point
zero of a function
arcsine function
position function
44. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
root of an equation
local linearization
limit
concave up
45. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
zero of a function
first derivative test
radius of a circle
prime notation
46. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
differentiation
definite integral
limit
differentiability
47. The x-coordinate of the point where a curve intersects the x-axis
linear function
integrand
x-intercept
dy/dx (Leibniz notation)
48. For all x in [a -b] - f'(x)<0
root of an equation
cotangent function
base (exponential and logarithmic)
decreasing on an interval
49. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
axis of symmetry
linear approximation
speed
middle sum
50. A point where a function changes concavity; also - where the second derivative changes signs
critical point
continuity at a point
inflection point
absolute minimum