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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 limit of f as x approaches c from the right
critical value
right-hand limit
amplitude
integration
2. The derivative of the first derivative
piecewise-defined function
second derivative
constant of integration
amplitude
3. For all x in [a -b] - f'(x)<0
first derivative test
decreasing on an interval
arcsine function
trapezoidal rule
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.
implicit differentiation
second derivative test
definite integral
instantaneous rate of change
5. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
increasing on an interval
cosecant function
cosine function
limit
6. Either of the endpoints of an interval over which a definite integral is to be evaluated
decreasing on an interval
average rate of change
limit of integration
speed
7. A function that can be expressed in the form f(x)=mx+b
integration
left-hand sum
linear function
trapezoidal rule
8. 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
average rate of change
left-hand sum
coefficient
discontinuity
9. The reciprocal of the sine function
integration by substitution
speed
integrable function
cosecant function
10. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
middle sum
cosine function
cross-sectional area
right-hand limit
11. The function y=lnx is the inverse of the exponential function y=e^x
limit
natural logarithm
discontinuity
axis of rotation
12. The amount of change divided by the time it takes
antiderivative
rate of change
instantaneous rate of change
x-axis
13. 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
integration
left-hand sum
minimum
14. For all x in [a -b] - f'(x)>0
integration
increasing on an interval
linear function
tangent line
15. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
critical point
instantaneous velocity
slope
exponential function
16. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
slope
secant line
coefficient
17. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
minimum
critical point
rate of change
linear approximation
18. The ratio x/r with r being the distance of (x -y) from the origin
continuous function
cosine function
tangent line
sine function
19. 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
concave up
x-intercept
root of an equation
circle
20. The x-coordinate of the point where a curve intersects the x-axis
integrable function
natural logarithm
maximum
x-intercept
21. An arbitrary constant term in the expression of the indefinite integral of a function
right-hand sum
constant of integration
separable differential equation
trapezoidal rule
22. The point (0 -0) in the Cartesian coordinate plane
root of an equation
right-hand limit
antiderivative
origin
23. The vertical axis of the Cartesian coordinate system
y-axis
definite integral
position function
product rule
24. Any ordered pair (x -y) where f'(x)=0 or is undefined
chain rule
domain
position function
critical point
25. The horizontal axis of the Cartesian coordinate system
instantaneous rate of change
x-axis
implicit differentiation
chain rule
26. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
concave up
indefinite integral
dy/dx (Leibniz notation)
region (in a plane)
27. The solid figure generated by revolving a plane region around a line
critical value
rate of change
antiderivative
solid of revolution
28. A function that is continuous on both the left and right side at that point
circle
secant line
continuity at a point
y-intercept
29. The highest value of a function for each value of the domain
secant line
solid of revolution
maximum
definite integral
30. 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
related rates
limit of integration
discontinuity
minimum
31. An indefinite integral. an arbitrary constant '+c' is included
continuity at a point
circle
secant line
antiderivative
32. A line around which a geometric figure is symmetrical
axis of symmetry
continuity on an interval
right-hand limit
integrand
33. If a function has a well-defined derivative for each element of the domain
differentiability
zero of a function
maximum
slope
34. In an application - maximizing or minimizing some aspect of the system being modeled
arctangent function
product rule
optimization
right-hand sum
35. A line through two points on the curve
local linearization
secant line
constant of integration
integration
36. The number which - when raised to the power of a given logarithm - produces a given number
base (exponential and logarithmic)
increasing on an interval
tangent function
instantaneous velocity
37. The process by which an antiderivative is calculated
integration
base (exponential and logarithmic)
tangent line
constant of integration
38. A function f that gives the position f(t) of a body on a coordinate axis at time t
prime notation
position function
velocity
secant line
39. The rate of change of position with respect to time
left-hand sum
acceleration
velocity
antidifferentiation
40. A line perpendicular to a tangent line at the point of tangency
rate of change
normal line
x-axis
continuity on an interval
41. Having a decreasing derivative as the independent variable increases; having a negative second derivative
cotangent function
concave down
acceleration
continuous function
42. A segment from the center of the circle to a point on the circle
radius of a circle
second derivative test
base (exponential and logarithmic)
tangent function
43. Having an increasing derivative as the independent variable increases - having a positive second derivative
antiderivative
concave up
cosecant function
optimization
44. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side
axis of symmetry
tangent function
left-hand sum
piecewise-defined function
45. 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
absolute minimum
definite integral
sine function
right-hand sum
46. A function that possesses a finite integral; the function must be continuous on the interval of integration
continuity on an interval
integrable function
x-intercept
related rates
47. The y-coordinate of a point where a curve intersects the y-axis
arcsine function
axis of rotation
increasing on an interval
y-intercept
48. The local and global maximums and minumums of a function
first derivative test
extrenum
integrable function
indefinite integral
49. f(-x)= -f(x)
exponential function
integration by substitution
differentiability
odd function
50. The differentiation of an implicit function with respect to the independent variable
implicit differentiation
axis of rotation
maximum
increasing on an interval