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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 point (0 -0) in the Cartesian coordinate plane
extrenum
secant line
second derivative test
origin
2. Any x values where f'(x)=0 or is undefined
cross-sectional area
critical value
cosine function
differentiability
3. The amount of change divided by the time it takes
limit of integration
inflection point
axis of symmetry
rate of change
4. In integrating composite function - either using pattern recognition or change of variables to perform the integration
integration by substitution
cosine function
radius of a circle
continuity at a point
5. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
velocity
definite integral
discontinuity
closed interval [a -b]
6. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
axis of symmetry
middle sum
product rule
y-intercept
7. The function y=lnx is the inverse of the exponential function y=e^x
antiderivative
secant line
instantaneous rate of change
natural logarithm
8. Slope between two points on a function
local extrema
closed interval [a -b]
average rate of change
amplitude
9. 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
first derivative test
local linearization
speed
10. The x-coordinate of the point where a curve intersects the x-axis
trapezoidal rule
x-intercept
optimization
tangent function
11. 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
acceleration
left-hand sum
implicit differentiation
12. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
antidifferentiation
cross-sectional area
indefinite integral
position function
13. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
natural logarithm
absolute maximum
decreasing on an interval
critical point
14. A function that is continuous at every point on the interval
base (exponential and logarithmic)
concave down
integrand
continuity on an interval
15. 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
relative maximum
arcsine function
amplitude
16. A function that can be expressed in the form f(x)=mx+b
inflection point
y-intercept
domain
linear function
17. For all x in [a -b] - f'(x)<0
circle
dy/dx (Leibniz notation)
decreasing on an interval
x-intercept
18. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
right-hand sum
limit
cross-sectional area
radius of a circle
19. A line perpendicular to a tangent line at the point of tangency
position function
normal line
critical value
differentiability
20. The differentiation of an implicit function with respect to the independent variable
base (exponential and logarithmic)
left-hand sum
continuity at a point
implicit differentiation
21. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
region (in a plane)
cross-sectional area
axis of rotation
continuity at a point
22. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
indefinite integral
linear approximation
integration by substitution
arctangent function
23. The rate of change of the velocity with respect to time. the second derivative of a position function
position function
integration by substitution
acceleration
limit of integration
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.
cross-sectional area
integrable function
natural logarithm
second derivative test
25. 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
x-axis
trapezoidal rule
coefficient
differentiability
26. In an application - maximizing or minimizing some aspect of the system being modeled
indefinite integral
acceleration
optimization
separable differential equation
27. A function that is defined by applying different formulas to different parts of its domain
cosecant function
origin
y-axis
piecewise-defined function
28. A line around which a geometric figure is symmetrical
antidifferentiation
axis of symmetry
domain
minimum
29. Local maximums of minimums of a function
local extrema
first derivative test
continuity at a point
limit of integration
30. 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
definite integral
concave up
arctangent function
slope
31. A point where a function changes concavity; also - where the second derivative changes signs
inflection point
second derivative
odd function
chain rule
32. The ratio x/r with r being the distance of (x -y) from the origin
y-axis
differentiability
optimization
cosine function
33. A function f that gives the position f(t) of a body on a coordinate axis at time t
position function
average rate of change
dy/dx (Leibniz notation)
separable differential equation
34. The local and global maximums and minumums of a function
continuity at a point
extrenum
arcsine function
piecewise-defined function
35. 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
critical value
integration
discontinuity
tangent function
36. A line through two points on the curve
secant line
separable differential equation
x-intercept
integration by substitution
37. The y-coordinate of a point where a curve intersects the y-axis
right-hand sum
y-intercept
instantaneous rate of change
prime notation
38. 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
product rule
linear function
tangent line
39. The reciprocal of the cosine function
secant function
absolute minimum
trapezoidal rule
region (in a plane)
40. Notation used for the first derivative of a function
x-axis
limit
dy/dx (Leibniz notation)
relative maximum
41. A function has a relative minimum if the derivative changes signs from negative to zero to positive
domain
optimization
relative minimum
antiderivative
42. 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)
constant function
relative minimum
tangent line
tangent function
43. The derivative of the first derivative
cotangent function
second derivative
integration by substitution
limit of integration
44. A method of obtaining the derivative of a composite function
chain rule
second derivative
separable differential equation
velocity
45. The set of all values that can be assumed by the independent variable of a function
zero of a function
local linearization
velocity
domain
46. A line around which some body or curve rotates
trapezoidal rule
axis of rotation
integrand
related rates
47. An arbitrary constant term in the expression of the indefinite integral of a function
integration
coefficient
constant function
constant of integration
48. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
second derivative test
integration by substitution
absolute minimum
implicit differentiation
49. A=x=b
closed interval [a -b]
position function
critical value
average rate of change
50. 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
critical point
continuous function
maximum
left-hand sum