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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 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
normal line
instantaneous rate of change
sine function
integrable function
2. Any ordered pair (x -y) where f'(x)=0 or is undefined
critical point
continuous function
integrand
increasing on an interval
3. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
piecewise-defined function
product rule
constant function
absolute maximum
4. A function such that the following is true
constant function
cosecant function
instantaneous velocity
continuous function
5. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute minimum
critical value
cosine function
differentiability
6. A line around which some body or curve rotates
middle sum
right-hand limit
axis of rotation
integration by substitution
7. The rate of change of position with respect to time
y-axis
increasing on an interval
velocity
solid of revolution
8. 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
speed
tangent function
first derivative test
odd function
9. The reciprocal of the sine function
tangent line
cotangent function
increasing on an interval
cosecant function
10. The point (0 -0) in the Cartesian coordinate plane
origin
limit
piecewise-defined function
x-intercept
11. The x-coordinate of the point where a curve intersects the x-axis
exponential function
right-hand limit
x-intercept
circle
12. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
discontinuity
relative maximum
zero of a function
tangent function
13. 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
y-intercept
critical value
coefficient
optimization
14. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
natural logarithm
origin
limit
integration by substitution
15. A=x=b
integrand
closed interval [a -b]
product rule
inflection point
16. Any x values where f'(x)=0 or is undefined
critical value
piecewise-defined function
right-hand limit
constant of integration
17. 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
concave down
slope
speed
piecewise-defined function
18. In an application - maximizing or minimizing some aspect of the system being modeled
circle
cosine function
related rates
optimization
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
tangent function
related rates
second derivative
velocity
20. For all x in [a -b] - f'(x)<0
arctangent function
base (exponential and logarithmic)
decreasing on an interval
cosecant function
21. The solid figure generated by revolving a plane region around a line
first derivative test
secant line
solid of revolution
coefficient
22. An arbitrary constant term in the expression of the indefinite integral of a function
odd function
constant of integration
product rule
secant function
23. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
absolute minimum
integration by substitution
velocity
definite integral
24. The set of all values that can be assumed by the independent variable of a function
root of an equation
middle sum
definite integral
domain
25. The horizontal axis of the Cartesian coordinate system
trapezoidal rule
solid of revolution
x-axis
y-axis
26. The limit of f as x approaches c from the right
zero of a function
slope
right-hand limit
antiderivative
27. Having a decreasing derivative as the independent variable increases; having a negative second derivative
constant function
critical point
concave down
separable differential equation
28. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
y-intercept
indefinite integral
implicit differentiation
radius of a circle
29. The process of finding the derivative of a function
natural logarithm
right-hand sum
average rate of change
differentiation
30. Slope between two points on a function
integrable function
average rate of change
constant function
slope
31. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
minimum
instantaneous velocity
antiderivative
right-hand limit
32. A segment from the center of the circle to a point on the circle
x-axis
continuous function
radius of a circle
separable differential equation
33. The inverse of the cosine function
concave up
arccosine function
absolute minimum
differentiability
34. A line around which a geometric figure is symmetrical
axis of symmetry
closed interval [a -b]
separable differential equation
chain rule
35. Local maximums of minimums of a function
indefinite integral
continuity at a point
local extrema
limit
36. 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
root of an equation
absolute maximum
integration
limit of integration
37. The ratio x/r with r being the distance of (x -y) from the origin
axis of symmetry
cosine function
product rule
integration by substitution
38. A line perpendicular to a tangent line at the point of tangency
arccosine function
normal line
region (in a plane)
average rate of change
39. The process by which an antiderivative is calculated
amplitude
dy/dx (Leibniz notation)
integration
implicit differentiation
40. 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
velocity
antidifferentiation
first derivative test
origin
41. Any function closely related to the exponential function - and in particular y=a^x - for any a
constant of integration
exponential function
rate of change
y-axis
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 right-most point of the sub-interval
right-hand sum
rate of change
average rate of change
limit
43. Notation used for the first derivative of a function
root of an equation
dy/dx (Leibniz notation)
y-axis
origin
44. 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
relative minimum
decreasing on an interval
left-hand sum
instantaneous velocity
45. The process of evaluating an indefinite integral
normal line
separable differential equation
piecewise-defined function
antidifferentiation
46. The derivative of the first derivative
second derivative
odd function
secant function
zero of a function
47. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
linear approximation
right-hand sum
axis of rotation
arcsine function
48. A method of obtaining the derivative of a composite function
decreasing on an interval
concave up
chain rule
tangent line
49. A function that is continuous on both the left and right side at that point
decreasing on an interval
product rule
continuity at a point
cosine function
50. The number which - when raised to the power of a given logarithm - produces a given number
integrable function
base (exponential and logarithmic)
x-axis
absolute minimum