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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 reciprocal of the cosine function
related rates
antiderivative
arctangent function
secant function
2. The vertical axis of the Cartesian coordinate system
middle sum
y-axis
acceleration
piecewise-defined function
3. A line around which a geometric figure is symmetrical
absolute minimum
antidifferentiation
axis of symmetry
base (exponential and logarithmic)
4. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
integration by substitution
product rule
radius of a circle
linear approximation
5. The smallest value of a function for each value of the domain
minimum
right-hand sum
maximum
product rule
6. f(-x)= -f(x)
sine function
odd function
tangent function
constant function
7. Any x values where f'(x)=0 or is undefined
cosecant function
rate of change
second derivative
critical value
8. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
prime notation
inflection point
absolute minimum
coefficient
9. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
indefinite integral
zero of a function
secant function
constant of integration
10. A function has a relative minimum if the derivative changes signs from negative to zero to positive
relative minimum
minimum
separable differential equation
trapezoidal rule
11. The solid figure generated by revolving a plane region around a line
solid of revolution
absolute maximum
constant function
continuity on an interval
12. A line around which some body or curve rotates
acceleration
domain
zero of a function
axis of rotation
13. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
tangent line
limit
amplitude
critical value
14. The amount of change divided by the time it takes
concave up
tangent function
rate of change
limit
15. A function such that the following is true
integration by substitution
linear approximation
continuous function
second derivative test
16. The absolute value or magnitude of velocity
definite integral
speed
constant function
minimum
17. Either of the endpoints of an interval over which a definite integral is to be evaluated
domain
trapezoidal rule
limit of integration
implicit differentiation
18. A line through two points on the curve
secant line
integration
antiderivative
continuity on an interval
19. 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
minimum
instantaneous rate of change
slope
integrable function
20. A function that is continuous on both the left and right side at that point
continuity at a point
relative minimum
solid of revolution
slope
21. A function that can be expressed in the form f(x)=mx+b
limit of integration
linear function
second derivative test
cosecant function
22. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
position function
definite integral
coefficient
implicit differentiation
23. For all x in [a -b] - f'(x)<0
definite integral
natural logarithm
decreasing on an interval
continuity on an interval
24. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
amplitude
arctangent function
radius of a circle
region (in a plane)
25. In an application - maximizing or minimizing some aspect of the system being modeled
arctangent function
axis of rotation
trapezoidal rule
optimization
26. 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
trapezoidal rule
critical point
definite integral
discontinuity
27. The ratio x/r with r being the distance of (x -y) from the origin
tangent function
x-axis
cosine function
concave up
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
origin
maximum
trapezoidal rule
29. 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
zero of a function
second derivative
axis of symmetry
30. Any function closely related to the exponential function - and in particular y=a^x - for any a
integrand
dy/dx (Leibniz notation)
exponential function
inflection point
31. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
concave up
amplitude
sine function
y-intercept
32. The process of evaluating an indefinite integral
related rates
antidifferentiation
natural logarithm
region (in a plane)
33. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
arcsine function
continuity on an interval
base (exponential and logarithmic)
34. 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
relative minimum
absolute minimum
extrenum
35. 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
trapezoidal rule
y-axis
domain
36. The function y=lnx is the inverse of the exponential function y=e^x
continuity at a point
natural logarithm
approximation
continuity on an interval
37. The differentiation of an implicit function with respect to the independent variable
implicit differentiation
integration by substitution
continuity at a point
minimum
38. The inverse of the sine function
arcsine function
cotangent function
relative minimum
closed interval [a -b]
39. The rate of change of position with respect to time
velocity
chain rule
maximum
cotangent function
40. 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
integration by substitution
approximation
tangent function
arctangent function
41. The horizontal axis of the Cartesian coordinate system
limit of integration
continuity on an interval
x-axis
linear function
42. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
product rule
concave up
velocity
43. Local maximums of minimums of a function
integration by substitution
secant line
local extrema
odd function
44. Any ordered pair (x -y) where f'(x)=0 or is undefined
velocity
integrand
critical point
base (exponential and logarithmic)
45. A line perpendicular to a tangent line at the point of tangency
antiderivative
normal line
position function
x-intercept
46. In periodic functions - the height of the function at the maximum to the middle line
base (exponential and logarithmic)
second derivative
domain
amplitude
47. 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
slope
critical point
separable differential equation
continuity at a point
48. If a function has a well-defined derivative for each element of the domain
extrenum
discontinuity
differentiability
instantaneous velocity
49. 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
constant function
sine function
rate of change
50. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
normal line
tangent function
local linearization
relative minimum