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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. Notation used for the first derivative of a function
linear approximation
dy/dx (Leibniz notation)
constant function
arccosine function
2. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
cross-sectional area
dy/dx (Leibniz notation)
middle sum
implicit differentiation
3. 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
base (exponential and logarithmic)
speed
extrenum
4. The point (0 -0) in the Cartesian coordinate plane
second derivative test
extrenum
origin
piecewise-defined function
5. 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)
tangent function
decreasing on an interval
x-axis
6. In integrating composite function - either using pattern recognition or change of variables to perform the integration
instantaneous rate of change
coefficient
integration by substitution
first derivative test
7. 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.
trapezoidal rule
x-intercept
right-hand sum
critical value
8. A line perpendicular to a tangent line at the point of tangency
normal line
instantaneous velocity
root of an equation
trapezoidal rule
9. A line around which a geometric figure is symmetrical
linear approximation
axis of symmetry
region (in a plane)
zero of a function
10. The set of points in a plane that are equidistant from a given point
circle
origin
dy/dx (Leibniz notation)
arctangent function
11. The inverse of the tangent function
discontinuity
y-axis
trapezoidal rule
arctangent function
12. The highest value of a function for each value of the domain
continuity at a point
zero of a function
maximum
chain rule
13. For all x in [a -b] - f'(x)>0
speed
approximation
increasing on an interval
related rates
14. 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
local linearization
extrenum
separable differential equation
second derivative test
15. The amount of change divided by the time it takes
differentiability
rate of change
tangent function
concave down
16. A function that is continuous on both the left and right side at that point
optimization
second derivative
cross-sectional area
continuity at a point
17. The reciprocal of the tangent function
velocity
acceleration
relative maximum
cotangent function
18. The ratio x/r with r being the distance of (x -y) from the origin
differentiability
antidifferentiation
cosine function
normal line
19. The process of evaluating an indefinite integral
limit of integration
antidifferentiation
domain
approximation
20. Having an increasing derivative as the independent variable increases - having a positive second derivative
constant of integration
concave up
critical value
zero of a function
21. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
differentiability
tangent line
position function
instantaneous velocity
22. The reciprocal of the cosine function
absolute maximum
secant function
differentiation
velocity
23. 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
zero of a function
linear approximation
limit
24. A number which serves as an estimate of a desired number
indefinite integral
concave down
approximation
y-axis
25. Local maximums of minimums of a function
critical value
concave down
separable differential equation
local extrema
26. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
definite integral
extrenum
approximation
y-axis
27. The reciprocal of the sine function
cosecant function
y-axis
acceleration
odd function
28. 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
trapezoidal rule
cotangent function
integration by substitution
29. The rate of change of position with respect to time
second derivative
natural logarithm
velocity
y-intercept
30. The function that is integrated in an integral
integrand
exponential function
constant function
origin
31. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
linear function
zero of a function
piecewise-defined function
optimization
32. A function such that the following is true
axis of symmetry
continuous function
y-axis
discontinuity
33. Any ordered pair (x -y) where f'(x)=0 or is undefined
axis of rotation
critical point
concave down
average rate of change
34. The inverse of the sine function
continuity at a point
integration by substitution
arcsine function
region (in a plane)
35. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
radius of a circle
continuity on an interval
absolute maximum
prime notation
36. A function f that gives the position f(t) of a body on a coordinate axis at time t
continuity at a point
position function
linear function
related rates
37. 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
second derivative
first derivative test
base (exponential and logarithmic)
tangent function
38. The process by which an antiderivative is calculated
secant function
integration
continuity on an interval
average rate of change
39. Any x values where f'(x)=0 or is undefined
arcsine function
right-hand sum
critical value
antiderivative
40. Slope between two points on a function
closed interval [a -b]
average rate of change
absolute maximum
integrand
41. Having a decreasing derivative as the independent variable increases; having a negative second derivative
concave down
axis of rotation
cosecant function
dy/dx (Leibniz notation)
42. If a function has a well-defined derivative for each element of the domain
secant line
indefinite integral
natural logarithm
differentiability
43. The local and global maximums and minumums of a function
extrenum
axis of rotation
arccosine function
inflection point
44. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
maximum
arcsine function
chain rule
linear approximation
45. Either of the endpoints of an interval over which a definite integral is to be evaluated
region (in a plane)
axis of rotation
limit of integration
y-axis
46. The process of finding the derivative of a function
decreasing on an interval
inflection point
circle
differentiation
47. The horizontal axis of the Cartesian coordinate system
trapezoidal rule
x-intercept
x-axis
prime notation
48. A function has a relative maximum if the derivative changes signs from positive to zero to negative
relative maximum
normal line
constant of integration
y-intercept
49. A function that is continuous at every point on the interval
y-intercept
arccosine function
second derivative
continuity on an interval
50. A function that can be expressed in the form f(x)=mx+b
linear function
exponential function
continuous function
axis of rotation