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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. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
y-axis
zero of a function
continuous function
second derivative test
2. Notation used for the first derivative of a function
linear function
tangent line
differentiation
dy/dx (Leibniz notation)
3. The reciprocal of the sine function
antiderivative
rate of change
cosecant function
dy/dx (Leibniz notation)
4. The limit of f as x approaches c from the right
separable differential equation
base (exponential and logarithmic)
right-hand limit
integrand
5. The solid figure generated by revolving a plane region around a line
local linearization
increasing on an interval
constant function
solid of revolution
6. A function f that gives the position f(t) of a body on a coordinate axis at time t
definite integral
cross-sectional area
extrenum
position function
7. A point where a function changes concavity; also - where the second derivative changes signs
inflection point
extrenum
limit of integration
product rule
8. The number which - when raised to the power of a given logarithm - produces a given number
base (exponential and logarithmic)
instantaneous rate of change
zero of a function
integrand
9. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
inflection point
integrable function
sine function
second derivative
10. The reciprocal of the cosine function
axis of symmetry
secant function
second derivative
linear function
11. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
absolute maximum
sine function
linear approximation
constant of integration
12. An indefinite integral. an arbitrary constant '+c' is included
antiderivative
indefinite integral
product rule
continuity on an interval
13. The highest value of a function for each value of the domain
integration by substitution
arcsine function
maximum
region (in a plane)
14. 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
y-axis
middle sum
circle
exponential function
15. The y-coordinate of a point where a curve intersects the y-axis
arcsine function
y-intercept
constant of integration
domain
16. A function that is continuous on both the left and right side at that point
decreasing on an interval
continuity at a point
chain rule
average rate of change
17. The inverse of the cosine function
inflection point
arccosine function
amplitude
discontinuity
18. Local maximums of minimums of a function
y-intercept
integration by substitution
local extrema
natural logarithm
19. 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
instantaneous velocity
relative minimum
local extrema
related rates
20. The set of all values that can be assumed by the independent variable of a function
limit
optimization
domain
axis of symmetry
21. A function that can be expressed in the form f(x)=mx+b
related rates
zero of a function
linear function
local extrema
22. For all x in [a -b] - f'(x)<0
decreasing on an interval
concave down
continuity on an interval
chain rule
23. A segment from the center of the circle to a point on the circle
minimum
increasing on an interval
maximum
radius of a circle
24. The vertical axis of the Cartesian coordinate system
trapezoidal rule
y-axis
product rule
piecewise-defined function
25. The process of evaluating an indefinite integral
sine function
limit
antidifferentiation
implicit differentiation
26. The reciprocal of the tangent function
discontinuity
cotangent function
closed interval [a -b]
arctangent function
27. The process of finding the derivative of a function
sine function
continuity on an interval
constant of integration
differentiation
28. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
product rule
cotangent function
integration
cosecant function
29. The smallest value of a function for each value of the domain
domain
cosecant function
minimum
critical value
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
slope
relative maximum
continuous function
coefficient
31. 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
continuous function
inflection point
cosine function
first derivative test
32. The amount of change divided by the time it takes
secant function
rate of change
piecewise-defined function
related rates
33. For all x in [a -b] - f'(x)>0
secant function
constant function
increasing on an interval
solid of revolution
34. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation or an x-intercept of the graph
limit
differentiation
root of an equation
left-hand sum
35. 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.
sine function
exponential function
trapezoidal rule
linear approximation
36. Any x values where f'(x)=0 or is undefined
increasing on an interval
critical value
domain
secant function
37. The absolute value or magnitude of velocity
decreasing on an interval
speed
velocity
tangent line
38. If a function has a well-defined derivative for each element of the domain
optimization
trapezoidal rule
differentiability
extrenum
39. The point (0 -0) in the Cartesian coordinate plane
minimum
origin
natural logarithm
sine function
40. 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)
tangent line
second derivative
critical value
definite integral
41. In periodic functions - the height of the function at the maximum to the middle line
base (exponential and logarithmic)
instantaneous velocity
amplitude
tangent function
42. The inverse of the sine function
cosecant function
limit of integration
arcsine function
instantaneous rate of change
43. The ratio x/r with r being the distance of (x -y) from the origin
second derivative
x-axis
cosine function
left-hand sum
44. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
piecewise-defined function
cross-sectional area
local extrema
speed
45. 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
axis of rotation
arccosine function
right-hand sum
continuity at a point
46. A function has a relative maximum if the derivative changes signs from positive to zero to negative
speed
relative maximum
first derivative test
increasing on an interval
47. The derivative of the first derivative
secant function
indefinite integral
differentiation
second derivative
48. Any function closely related to the exponential function - and in particular y=a^x - for any a
absolute maximum
x-intercept
middle sum
exponential function
49. The function that is integrated in an integral
integrand
solid of revolution
middle sum
increasing on an interval
50. The rate of change of position with respect to time
velocity
chain rule
domain
product rule