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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. In an application - maximizing or minimizing some aspect of the system being modeled
optimization
root of an equation
cross-sectional area
maximum
2. 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
average rate of change
linear approximation
region (in a plane)
3. A line around which a geometric figure is symmetrical
tangent function
base (exponential and logarithmic)
relative minimum
axis of symmetry
4. The smallest value of a function for each value of the domain
base (exponential and logarithmic)
right-hand limit
minimum
increasing on an interval
5. The inverse of the sine function
arcsine function
region (in a plane)
related rates
integration by substitution
6. The function that is integrated in an integral
critical value
integrand
extrenum
odd function
7. The reciprocal of the cosine function
secant function
cosecant function
minimum
coefficient
8. f(-x)= -f(x)
odd function
zero of a function
local extrema
relative maximum
9. The number which - when raised to the power of a given logarithm - produces a given number
integrand
definite integral
base (exponential and logarithmic)
x-axis
10. A function that is continuous at every point on the interval
root of an equation
continuity on an interval
y-axis
chain rule
11. 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)
absolute maximum
tangent line
left-hand sum
first derivative test
12. A function such that the following is true
inflection point
rate of change
continuous function
cross-sectional area
13. The process of finding the derivative of a function
optimization
differentiation
normal line
trapezoidal rule
14. The vertical axis of the Cartesian coordinate system
absolute minimum
integrable function
y-axis
separable differential equation
15. The set of points in a plane that are equidistant from a given point
definite integral
maximum
root of an equation
circle
16. A function has a relative minimum if the derivative changes signs from negative to zero to positive
relative minimum
limit of integration
cosine function
axis of rotation
17. A function that can be expressed in the form f(x)=mx+b
linear function
solid of revolution
normal line
critical point
18. An arbitrary constant term in the expression of the indefinite integral of a function
right-hand sum
constant of integration
concave up
product rule
19. The x-coordinate of the point where a curve intersects the x-axis
continuity at a point
minimum
x-intercept
indefinite integral
20. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
antiderivative
antidifferentiation
product rule
x-axis
21. Either of the endpoints of an interval over which a definite integral is to be evaluated
continuous function
decreasing on an interval
limit of integration
x-axis
22. The y-coordinate of a point where a curve intersects the y-axis
integration by substitution
tangent function
constant of integration
y-intercept
23. For all x in [a -b] - f'(x)>0
decreasing on an interval
cotangent function
piecewise-defined function
increasing on an interval
24. 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.
dy/dx (Leibniz notation)
antidifferentiation
concave down
trapezoidal rule
25. 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
arccosine function
separable differential equation
limit of integration
instantaneous rate of change
26. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
trapezoidal rule
local linearization
sine function
increasing on an interval
27. 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
decreasing on an interval
continuity on an interval
root of an equation
first derivative test
28. The derivative of the first derivative
second derivative
integrand
optimization
integrable function
29. If a function has a well-defined derivative for each element of the domain
continuity at a point
solid of revolution
differentiability
average rate of change
30. The local and global maximums and minumums of a function
dy/dx (Leibniz notation)
position function
extrenum
relative maximum
31. Having an increasing derivative as the independent variable increases - having a positive second derivative
concave up
discontinuity
linear approximation
local linearization
32. The horizontal axis of the Cartesian coordinate system
minimum
related rates
linear function
x-axis
33. 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.
natural logarithm
position function
second derivative test
concave up
34. The amount of change divided by the time it takes
rate of change
relative maximum
separable differential equation
secant function
35. A function f that gives the position f(t) of a body on a coordinate axis at time t
instantaneous velocity
differentiation
constant of integration
position function
36. The solid figure generated by revolving a plane region around a line
differentiability
discontinuity
solid of revolution
secant line
37. A function has a relative maximum if the derivative changes signs from positive to zero to negative
root of an equation
region (in a plane)
relative maximum
tangent function
38. 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)
inflection point
linear approximation
integrable function
39. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
exponential function
absolute minimum
sine function
velocity
40. The absolute value or magnitude of velocity
continuous function
relative minimum
speed
arctangent function
41. In integrating composite function - either using pattern recognition or change of variables to perform the integration
approximation
concave down
axis of rotation
integration by substitution
42. The rate of change of the velocity with respect to time. the second derivative of a position function
tangent function
normal line
acceleration
second derivative
43. The reciprocal of the sine function
relative maximum
cosecant function
integrable function
position function
44. Slope between two points on a function
relative minimum
domain
average rate of change
continuous function
45. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
x-axis
prime notation
extrenum
closed interval [a -b]
46. 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
discontinuity
exponential function
middle sum
circle
47. 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
solid of revolution
right-hand sum
coefficient
product rule
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
left-hand sum
differentiation
region (in a plane)
arccosine function
49. Any ordered pair (x -y) where f'(x)=0 or is undefined
differentiation
critical point
secant function
cotangent function
50. The inverse of the tangent function
sine function
linear approximation
arctangent function
critical value