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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 differentiation of an implicit function with respect to the independent variable
x-intercept
arccosine function
implicit differentiation
continuity on an interval
2. The vertical axis of the Cartesian coordinate system
slope
closed interval [a -b]
right-hand limit
y-axis
3. 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
decreasing on an interval
continuity on an interval
product rule
related rates
4. Any function closely related to the exponential function - and in particular y=a^x - for any a
secant function
exponential function
zero of a function
coefficient
5. 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
rate of change
circle
cosecant function
root of an equation
6. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
natural logarithm
coefficient
acceleration
local linearization
7. 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.
continuous function
trapezoidal rule
right-hand limit
cotangent function
8. f(-x)= -f(x)
axis of symmetry
odd function
origin
local linearization
9. The inverse of the tangent function
arctangent function
relative minimum
critical value
tangent line
10. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
definite integral
exponential function
constant function
limit
11. The local and global maximums and minumums of a function
maximum
dy/dx (Leibniz notation)
axis of rotation
extrenum
12. A function that possesses a finite integral; the function must be continuous on the interval of integration
related rates
axis of symmetry
amplitude
integrable function
13. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
extrenum
integration
product rule
cosecant function
14. 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
maximum
concave down
tangent function
region (in a plane)
15. In an application - maximizing or minimizing some aspect of the system being modeled
coefficient
left-hand sum
optimization
y-axis
16. Any ordered pair (x -y) where f'(x)=0 or is undefined
local linearization
second derivative
indefinite integral
critical point
17. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
domain
limit
radius of a circle
amplitude
18. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
local extrema
indefinite integral
instantaneous velocity
zero of a function
19. The inverse of the sine function
arcsine function
root of an equation
normal line
chain rule
20. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
concave up
product rule
antidifferentiation
zero of a function
21. The reciprocal of the cosine function
secant function
limit of integration
first derivative test
base (exponential and logarithmic)
22. A method of obtaining the derivative of a composite function
dy/dx (Leibniz notation)
secant line
chain rule
antidifferentiation
23. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
local extrema
integration
region (in a plane)
extrenum
24. A function that is defined by applying different formulas to different parts of its domain
local extrema
instantaneous velocity
chain rule
piecewise-defined function
25. Having an increasing derivative as the independent variable increases - having a positive second derivative
secant function
normal line
increasing on an interval
concave up
26. A line around which a geometric figure is symmetrical
x-intercept
root of an equation
axis of symmetry
inflection point
27. Any x values where f'(x)=0 or is undefined
instantaneous rate of change
middle sum
prime notation
critical value
28. The process of evaluating an indefinite integral
approximation
antidifferentiation
integration
critical point
29. A number which serves as an estimate of a desired number
decreasing on an interval
approximation
y-intercept
velocity
30. 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)
y-intercept
sine function
odd function
tangent line
31. A function that is continuous on both the left and right side at that point
trapezoidal rule
relative minimum
continuity at a point
cotangent function
32. Notation used for the first derivative of a function
first derivative test
relative minimum
absolute minimum
dy/dx (Leibniz notation)
33. The rate of change of position with respect to time
optimization
velocity
y-intercept
secant function
34. The reciprocal of the sine function
cosecant function
region (in a plane)
axis of rotation
indefinite integral
35. In periodic functions - the height of the function at the maximum to the middle line
natural logarithm
linear approximation
region (in a plane)
amplitude
36. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
linear approximation
instantaneous rate of change
cotangent function
axis of symmetry
37. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
integrable function
tangent function
x-intercept
38. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
instantaneous velocity
amplitude
prime notation
differentiation
39. A function has a relative maximum if the derivative changes signs from positive to zero to negative
x-intercept
trapezoidal rule
cross-sectional area
relative maximum
40. 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
piecewise-defined function
linear approximation
amplitude
41. A segment from the center of the circle to a point on the circle
average rate of change
base (exponential and logarithmic)
first derivative test
radius of a circle
42. 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
tangent function
cosecant function
integration by substitution
43. The absolute value or magnitude of velocity
zero of a function
speed
solid of revolution
product rule
44. 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
solid of revolution
zero of a function
first derivative test
domain
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 left-most point of the sub-interval
root of an equation
domain
left-hand sum
rate of change
46. The function y=lnx is the inverse of the exponential function y=e^x
minimum
natural logarithm
solid of revolution
secant line
47. A line around which some body or curve rotates
position function
instantaneous velocity
absolute maximum
axis of rotation
48. In integrating composite function - either using pattern recognition or change of variables to perform the integration
differentiation
integration by substitution
domain
amplitude
49. The point (0 -0) in the Cartesian coordinate plane
odd function
increasing on an interval
second derivative test
origin
50. For all x in [a -b] - f'(x)<0
right-hand sum
secant function
differentiability
decreasing on an interval
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