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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. 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
second derivative test
region (in a plane)
root of an equation
zero of a function
2. A=x=b
second derivative test
closed interval [a -b]
origin
secant function
3. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
integration
minimum
related rates
prime notation
4. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
arccosine function
second derivative test
definite integral
increasing on an interval
5. A function that is defined by applying different formulas to different parts of its domain
piecewise-defined function
dy/dx (Leibniz notation)
circle
differentiability
6. The inverse of the tangent function
product rule
domain
arctangent function
continuity on an interval
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.
relative maximum
maximum
trapezoidal rule
continuous function
8. A segment from the center of the circle to a point on the circle
radius of a circle
arctangent function
instantaneous rate of change
implicit differentiation
9. In an application - maximizing or minimizing some aspect of the system being modeled
slope
optimization
domain
integrable function
10. The y-coordinate of a point where a curve intersects the y-axis
integration
left-hand sum
decreasing on an interval
y-intercept
11. The inverse of the sine function
arcsine function
circle
critical point
secant line
12. 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
domain
definite integral
prime notation
13. The inverse of the cosine function
continuous function
arccosine function
implicit differentiation
sine function
14. A function such that the following is true
constant of integration
left-hand sum
continuous function
cotangent function
15. A function that is continuous at every point on the interval
continuity on an interval
optimization
domain
radius of a circle
16. A point where a function changes concavity; also - where the second derivative changes signs
local linearization
inflection point
zero of a function
middle sum
17. The rate of change of the velocity with respect to time. the second derivative of a position function
normal line
coefficient
left-hand sum
acceleration
18. A line through two points on the curve
implicit differentiation
secant line
limit
position function
19. The local and global maximums and minumums of a function
extrenum
root of an equation
first derivative test
critical value
20. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
absolute minimum
local linearization
radius of a circle
cotangent function
21. A function has a relative minimum if the derivative changes signs from negative to zero to positive
constant of integration
integration
concave up
relative minimum
22. The reciprocal of the sine function
secant function
constant function
cosecant function
absolute minimum
23. A function that is a fixed numerical value for all elements of the domain of the function
x-axis
origin
local extrema
constant function
24. The reciprocal of the tangent function
cotangent function
sine function
instantaneous velocity
discontinuity
25. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
product rule
related rates
domain
separable differential equation
26. The function y=lnx is the inverse of the exponential function y=e^x
natural logarithm
cosecant function
circle
integrand
27. If a function has a well-defined derivative for each element of the domain
constant function
implicit differentiation
differentiability
limit of integration
28. Any ordered pair (x -y) where f'(x)=0 or is undefined
critical point
secant line
concave down
axis of symmetry
29. 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
constant of integration
first derivative test
normal line
30. 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
speed
left-hand sum
antiderivative
region (in a plane)
31. A line perpendicular to a tangent line at the point of tangency
normal line
tangent line
minimum
secant function
32. The process of finding the derivative of a function
relative maximum
average rate of change
differentiation
origin
33. The differentiation of an implicit function with respect to the independent variable
differentiability
implicit differentiation
amplitude
secant line
34. The smallest value of a function for each value of the domain
cosecant function
cosine function
arccosine function
minimum
35. 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
first derivative test
inflection point
base (exponential and logarithmic)
limit
36. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
origin
arcsine function
local extrema
37. 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
second derivative
separable differential equation
inflection point
coefficient
38. The set of points in a plane that are equidistant from a given point
linear function
odd function
circle
critical value
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
maximum
instantaneous velocity
inflection point
differentiability
40. An arbitrary constant term in the expression of the indefinite integral of a function
constant of integration
integrand
continuous function
differentiability
41. An indefinite integral. an arbitrary constant '+c' is included
local extrema
product rule
secant line
antiderivative
42. The number which - when raised to the power of a given logarithm - produces a given number
cross-sectional area
prime notation
critical point
base (exponential and logarithmic)
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
piecewise-defined function
zero of a function
slope
discontinuity
44. The rate of change of position with respect to time
velocity
approximation
discontinuity
rate of change
45. Any function closely related to the exponential function - and in particular y=a^x - for any a
related rates
definite integral
exponential function
velocity
46. A function that is continuous on both the left and right side at that point
axis of rotation
definite integral
continuity at a point
critical value
47. A number which serves as an estimate of a desired number
linear approximation
decreasing on an interval
approximation
continuous function
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 right-most point of the sub-interval
right-hand sum
decreasing on an interval
x-axis
discontinuity
49. 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
limit
antiderivative
secant line
50. The ratio x/r with r being the distance of (x -y) from the origin
cosine function
x-intercept
linear approximation
separable differential equation