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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 vertical axis of the Cartesian coordinate system
arccosine function
region (in a plane)
first derivative test
y-axis
2. A line perpendicular to a tangent line at the point of tangency
chain rule
relative minimum
acceleration
normal line
3. The smallest value of a function for each value of the domain
minimum
trapezoidal rule
integrand
indefinite integral
4. 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
coefficient
limit
normal line
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
cosine function
root of an equation
base (exponential and logarithmic)
integration
6. 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.
linear approximation
second derivative test
region (in a plane)
left-hand sum
7. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
closed interval [a -b]
indefinite integral
y-intercept
linear approximation
8. A function f that gives the position f(t) of a body on a coordinate axis at time t
y-intercept
position function
relative maximum
secant line
9. A function has a relative maximum if the derivative changes signs from positive to zero to negative
integration
relative maximum
circle
instantaneous velocity
10. 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
integration
amplitude
left-hand sum
domain
11. 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
solid of revolution
local linearization
right-hand limit
12. Either of the endpoints of an interval over which a definite integral is to be evaluated
limit of integration
axis of rotation
natural logarithm
relative minimum
13. Any x values where f'(x)=0 or is undefined
zero of a function
critical value
exponential function
speed
14. The point (0 -0) in the Cartesian coordinate plane
origin
solid of revolution
minimum
radius of a circle
15. The reciprocal of the tangent function
normal line
arctangent function
cross-sectional area
cotangent function
16. The rate of change of position with respect to time
velocity
product rule
second derivative test
instantaneous rate of change
17. 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
coefficient
increasing on an interval
relative maximum
related rates
18. A function has a relative minimum if the derivative changes signs from negative to zero to positive
approximation
relative minimum
integration by substitution
rate of change
19. For all x in [a -b] - f'(x)>0
increasing on an interval
implicit differentiation
left-hand sum
normal line
20. The process of evaluating an indefinite integral
antidifferentiation
continuity at a point
related rates
separable differential equation
21. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
prime notation
integrable function
odd function
dy/dx (Leibniz notation)
22. If a function has a well-defined derivative for each element of the domain
relative minimum
concave up
limit
differentiability
23. The process by which an antiderivative is calculated
constant function
integration
axis of rotation
base (exponential and logarithmic)
24. Slope between two points on a function
average rate of change
secant line
concave down
antidifferentiation
25. 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.
coefficient
cosecant function
extrenum
trapezoidal rule
26. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
product rule
local linearization
indefinite integral
instantaneous rate of change
27. The process of finding the derivative of a function
chain rule
inflection point
differentiation
normal line
28. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
decreasing on an interval
x-axis
closed interval [a -b]
linear approximation
29. For all x in [a -b] - f'(x)<0
decreasing on an interval
separable differential equation
velocity
domain
30. A line through two points on the curve
rate of change
secant line
axis of symmetry
prime notation
31. The set of points in a plane that are equidistant from a given point
circle
x-intercept
local extrema
velocity
32. 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
increasing on an interval
trapezoidal rule
separable differential equation
slope
33. 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
speed
first derivative test
limit of integration
instantaneous velocity
34. 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
exponential function
instantaneous rate of change
integration
concave down
35. Any function closely related to the exponential function - and in particular y=a^x - for any a
prime notation
exponential function
cross-sectional area
separable differential equation
36. Notation used for the first derivative of a function
closed interval [a -b]
dy/dx (Leibniz notation)
y-intercept
middle sum
37. The inverse of the cosine function
velocity
arccosine function
inflection point
prime notation
38. Having a decreasing derivative as the independent variable increases; having a negative second derivative
arcsine function
right-hand sum
absolute minimum
concave down
39. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
sine function
extrenum
first derivative test
decreasing on an interval
40. The x-coordinate of the point where a curve intersects the x-axis
indefinite integral
linear approximation
relative maximum
x-intercept
41. Having an increasing derivative as the independent variable increases - having a positive second derivative
position function
odd function
local extrema
concave up
42. The number which - when raised to the power of a given logarithm - produces a given number
base (exponential and logarithmic)
closed interval [a -b]
arcsine function
velocity
43. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
increasing on an interval
integrand
absolute minimum
limit
44. Local maximums of minimums of a function
limit
differentiation
local extrema
arccosine function
45. The set of all values that can be assumed by the independent variable of a function
domain
y-intercept
arcsine function
exponential function
46. 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
position function
axis of symmetry
right-hand sum
47. The reciprocal of the cosine function
absolute minimum
x-axis
secant function
exponential function
48. The reciprocal of the sine function
cosecant function
continuity at a point
linear function
increasing on an interval
49. The highest value of a function for each value of the domain
amplitude
middle sum
maximum
increasing on an interval
50. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
trapezoidal rule
sine function
region (in a plane)
normal line