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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. The function y=lnx is the inverse of the exponential function y=e^x
domain
definite integral
natural logarithm
antidifferentiation
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
zero of a function
dy/dx (Leibniz notation)
cross-sectional area
constant function
3. The amount of change divided by the time it takes
instantaneous velocity
rate of change
dy/dx (Leibniz notation)
second derivative
4. Slope between two points on a function
local linearization
coefficient
inflection point
average rate of change
5. The inverse of the sine function
axis of rotation
increasing on an interval
arcsine function
instantaneous rate of change
6. The set of all values that can be assumed by the independent variable of a function
continuity at a point
domain
cosine function
origin
7. The smallest value of a function for each value of the domain
left-hand sum
minimum
local linearization
absolute minimum
8. A function f that gives the position f(t) of a body on a coordinate axis at time t
position function
cotangent function
dy/dx (Leibniz notation)
odd function
9. 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
separable differential equation
circle
concave down
odd function
10. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates
integration by substitution
second derivative
related rates
natural logarithm
11. The horizontal axis of the Cartesian coordinate system
x-axis
piecewise-defined function
x-intercept
closed interval [a -b]
12. The reciprocal of the cosine function
secant function
instantaneous velocity
axis of symmetry
integrand
13. The inverse of the tangent function
antiderivative
arctangent function
zero of a function
related rates
14. A function has a relative maximum if the derivative changes signs from positive to zero to negative
acceleration
local extrema
right-hand sum
relative maximum
15. 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
axis of symmetry
exponential function
integration by substitution
16. A number which serves as an estimate of a desired number
second derivative
approximation
radius of a circle
integrand
17. A line around which a geometric figure is symmetrical
approximation
slope
axis of symmetry
circle
18. For all x in [a -b] - f'(x)>0
maximum
increasing on an interval
indefinite integral
rate of change
19. 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
integration by substitution
decreasing on an interval
continuity at a point
instantaneous rate of change
20. The vertical axis of the Cartesian coordinate system
y-axis
definite integral
left-hand sum
natural logarithm
21. A function that is continuous at every point on the interval
trapezoidal rule
x-intercept
constant of integration
continuity on an interval
22. For all x in [a -b] - f'(x)<0
cosine function
extrenum
decreasing on an interval
left-hand sum
23. The limit of f as x approaches c from the right
limit of integration
local extrema
right-hand limit
prime notation
24. The inverse of the cosine function
dy/dx (Leibniz notation)
root of an equation
arccosine function
integrable function
25. The local and global maximums and minumums of a function
extrenum
region (in a plane)
related rates
tangent line
26. An arbitrary constant term in the expression of the indefinite integral of a function
dy/dx (Leibniz notation)
constant of integration
coefficient
circle
27. 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
continuity at a point
instantaneous velocity
right-hand sum
arcsine function
28. 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
chain rule
related rates
average rate of change
29. 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
axis of symmetry
left-hand sum
circle
30. 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.
origin
critical value
normal line
trapezoidal rule
31. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
prime notation
continuity on an interval
circle
32. The absolute value or magnitude of velocity
acceleration
chain rule
linear approximation
speed
33. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
prime notation
right-hand limit
absolute minimum
coefficient
34. 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
middle sum
product rule
region (in a plane)
35. Having an increasing derivative as the independent variable increases - having a positive second derivative
concave up
integration
axis of symmetry
second derivative test
36. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
limit
related rates
indefinite integral
increasing on an interval
37. The reciprocal of the tangent function
normal line
cotangent function
slope
instantaneous rate of change
38. A line through two points on the curve
local linearization
cross-sectional area
secant line
discontinuity
39. A line around which some body or curve rotates
axis of rotation
slope
axis of symmetry
local linearization
40. In integrating composite function - either using pattern recognition or change of variables to perform the integration
implicit differentiation
integration by substitution
dy/dx (Leibniz notation)
differentiation
41. The rate of change of position with respect to time
limit
amplitude
velocity
piecewise-defined function
42. 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
middle sum
continuity on an interval
closed interval [a -b]
maximum
43. 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)
tangent line
zero of a function
minimum
closed interval [a -b]
44. f(-x)= -f(x)
exponential function
odd function
cosine function
local linearization
45. The process by which an antiderivative is calculated
integration
root of an equation
constant function
second derivative test
46. If a function has a well-defined derivative for each element of the domain
amplitude
differentiability
position function
implicit differentiation
47. The point (0 -0) in the Cartesian coordinate plane
acceleration
cotangent function
critical point
origin
48. Either of the endpoints of an interval over which a definite integral is to be evaluated
acceleration
limit of integration
axis of symmetry
odd function
49. A function such that the following is true
zero of a function
discontinuity
optimization
continuous function
50. The x-coordinate of the point where a curve intersects the x-axis
first derivative test
increasing on an interval
x-intercept
root of an equation