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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. Having an increasing derivative as the independent variable increases - having a positive second derivative
y-axis
concave up
absolute maximum
discontinuity
2. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
prime notation
speed
linear approximation
arctangent function
3. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
limit
tangent line
trapezoidal rule
circle
4. 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
absolute maximum
acceleration
middle sum
closed interval [a -b]
5. 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.
exponential function
closed interval [a -b]
trapezoidal rule
concave down
6. The process by which an antiderivative is calculated
integration by substitution
integration
axis of symmetry
prime notation
7. Any function closely related to the exponential function - and in particular y=a^x - for any a
exponential function
integration by substitution
limit of integration
x-axis
8. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
region (in a plane)
origin
integrand
amplitude
9. The set of all values that can be assumed by the independent variable of a function
continuity on an interval
domain
continuous function
right-hand sum
10. The ratio x/r with r being the distance of (x -y) from the origin
absolute minimum
region (in a plane)
cosine function
rate of change
11. A line through two points on the curve
secant function
arccosine function
limit
secant line
12. A function that is a fixed numerical value for all elements of the domain of the function
concave down
constant function
critical value
related rates
13. Local maximums of minimums of a function
y-axis
root of an equation
differentiation
local extrema
14. The inverse of the cosine function
arctangent function
minimum
cosine function
arccosine function
15. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
discontinuity
absolute maximum
relative maximum
acceleration
16. A point where a function changes concavity; also - where the second derivative changes signs
cross-sectional area
first derivative test
inflection point
integration
17. A function that is continuous at every point on the interval
coefficient
continuity on an interval
inflection point
rate of change
18. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
discontinuity
secant line
prime notation
chain rule
19. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
closed interval [a -b]
zero of a function
limit
linear approximation
20. f(-x)= -f(x)
circle
odd function
second derivative test
integrable function
21. The function that is integrated in an integral
speed
cosecant function
integrand
antidifferentiation
22. The set of points in a plane that are equidistant from a given point
integration
x-axis
circle
y-intercept
23. A function that can be expressed in the form f(x)=mx+b
cotangent function
integrable function
linear function
absolute maximum
24. A function such that the following is true
extrenum
decreasing on an interval
tangent function
continuous function
25. 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
discontinuity
region (in a plane)
concave down
root of an equation
26. 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)
integration by substitution
average rate of change
tangent line
separable differential equation
27. The number which - when raised to the power of a given logarithm - produces a given number
arcsine function
amplitude
middle sum
base (exponential and logarithmic)
28. The highest value of a function for each value of the domain
critical value
maximum
limit of integration
natural logarithm
29. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
cosine function
product rule
natural logarithm
x-intercept
30. The smallest value of a function for each value of the domain
minimum
linear function
concave up
tangent function
31. Any x values where f'(x)=0 or is undefined
indefinite integral
critical value
coefficient
integration by substitution
32. For all x in [a -b] - f'(x)>0
increasing on an interval
rate of change
secant line
approximation
33. A function has a relative minimum if the derivative changes signs from negative to zero to positive
instantaneous rate of change
relative minimum
local extrema
linear approximation
34. Either of the endpoints of an interval over which a definite integral is to be evaluated
zero of a function
limit of integration
y-axis
concave down
35. A line around which a geometric figure is symmetrical
acceleration
axis of symmetry
tangent line
instantaneous velocity
36. The amount of change divided by the time it takes
natural logarithm
amplitude
separable differential equation
rate of change
37. An indefinite integral. an arbitrary constant '+c' is included
antiderivative
antidifferentiation
product rule
absolute minimum
38. The local and global maximums and minumums of a function
solid of revolution
relative maximum
chain rule
extrenum
39. The function y=lnx is the inverse of the exponential function y=e^x
constant function
natural logarithm
separable differential equation
axis of rotation
40. The differentiation of an implicit function with respect to the independent variable
antiderivative
implicit differentiation
constant function
critical value
41. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
definite integral
y-axis
limit of integration
critical point
42. A number which serves as an estimate of a desired number
constant function
linear function
approximation
instantaneous rate of change
43. 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
zero of a function
cotangent function
indefinite integral
slope
44. The rate of change of position with respect to time
local linearization
velocity
product rule
circle
45. The process of finding the derivative of a function
integrable function
differentiation
slope
acceleration
46. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute minimum
zero of a function
product rule
acceleration
47. A method of obtaining the derivative of a composite function
domain
chain rule
instantaneous rate of change
position function
48. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
indefinite integral
implicit differentiation
prime notation
antidifferentiation
49. The rate of change of the velocity with respect to time. the second derivative of a position function
domain
indefinite integral
increasing on an interval
acceleration
50. 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
axis of symmetry
natural logarithm
constant of integration
coefficient