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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 function that is continuous at every point on the interval
chain rule
continuity on an interval
first derivative test
relative minimum
2. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
domain
limit
x-axis
constant function
3. 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
domain
cotangent function
normal line
instantaneous rate of change
4. 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.
second derivative test
antiderivative
axis of rotation
related rates
5. Local maximums of minimums of a function
local extrema
continuity on an interval
axis of rotation
origin
6. The point (0 -0) in the Cartesian coordinate plane
continuity on an interval
slope
origin
natural logarithm
7. An arbitrary constant term in the expression of the indefinite integral of a function
cotangent function
constant of integration
concave up
natural logarithm
8. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
integrand
acceleration
zero of a function
instantaneous velocity
9. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
optimization
chain rule
decreasing on an interval
product rule
10. The process of finding the derivative of a function
arctangent function
velocity
differentiation
normal line
11. The inverse of the tangent function
secant line
tangent function
implicit differentiation
arctangent function
12. The reciprocal of the tangent function
normal line
minimum
continuous function
cotangent function
13. The amount of change divided by the time it takes
exponential function
rate of change
integration by substitution
odd function
14. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
radius of a circle
integrable function
absolute minimum
continuous function
15. Any x values where f'(x)=0 or is undefined
critical value
right-hand sum
continuity on an interval
critical point
16. The solid figure generated by revolving a plane region around a line
solid of revolution
critical point
y-intercept
y-axis
17. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
indefinite integral
exponential function
limit of integration
differentiability
18. 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
root of an equation
region (in a plane)
x-intercept
19. The differentiation of an implicit function with respect to the independent variable
implicit differentiation
x-axis
first derivative test
origin
20. The derivative of the first derivative
separable differential equation
extrenum
second derivative
instantaneous velocity
21. The absolute value or magnitude of velocity
average rate of change
limit
speed
discontinuity
22. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
right-hand limit
linear approximation
approximation
constant function
23. A method of obtaining the derivative of a composite function
chain rule
definite integral
approximation
closed interval [a -b]
24. The process by which an antiderivative is calculated
increasing on an interval
integration
velocity
product rule
25. 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
region (in a plane)
velocity
rate of change
26. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
continuous function
limit of integration
first derivative test
absolute maximum
27. Slope between two points on a function
continuity at a point
maximum
average rate of change
inflection point
28. The ratio x/r with r being the distance of (x -y) from the origin
amplitude
axis of symmetry
cosine function
radius of a circle
29. If a function has a well-defined derivative for each element of the domain
arctangent function
differentiability
limit of integration
origin
30. Any function closely related to the exponential function - and in particular y=a^x - for any a
exponential function
coefficient
integration by substitution
decreasing on an interval
31. Having an increasing derivative as the independent variable increases - having a positive second derivative
local linearization
extrenum
axis of symmetry
concave up
32. The process of evaluating an indefinite integral
solid of revolution
antidifferentiation
critical point
axis of rotation
33. For all x in [a -b] - f'(x)>0
increasing on an interval
integration
absolute minimum
trapezoidal rule
34. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
zero of a function
separable differential equation
natural logarithm
cross-sectional area
35. The highest value of a function for each value of the domain
base (exponential and logarithmic)
limit of integration
chain rule
maximum
36. The x-coordinate of the point where a curve intersects the x-axis
rate of change
x-intercept
second derivative
region (in a plane)
37. A line through two points on the curve
secant line
concave down
concave up
region (in a plane)
38. The inverse of the sine function
arcsine function
radius of a circle
region (in a plane)
critical point
39. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
instantaneous velocity
velocity
instantaneous rate of change
arcsine function
40. For all x in [a -b] - f'(x)<0
solid of revolution
odd function
tangent function
decreasing on an interval
41. A function has a relative maximum if the derivative changes signs from positive to zero to negative
continuity on an interval
closed interval [a -b]
arccosine function
relative maximum
42. The function that is integrated in an integral
extrenum
integrand
continuous function
concave up
43. 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
limit
arccosine function
constant of integration
44. A line perpendicular to a tangent line at the point of tangency
local extrema
instantaneous velocity
zero of a function
normal line
45. The horizontal axis of the Cartesian coordinate system
prime notation
root of an equation
definite integral
x-axis
46. A function that can be expressed in the form f(x)=mx+b
linear function
secant line
definite integral
velocity
47. A segment from the center of the circle to a point on the circle
radius of a circle
approximation
solid of revolution
closed interval [a -b]
48. 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
x-intercept
left-hand sum
differentiation
natural logarithm
49. 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)
natural logarithm
minimum
tangent line
normal line
50. 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.
antiderivative
linear approximation
trapezoidal rule
slope