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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. 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
cotangent function
integration by substitution
discontinuity
optimization
2. A function that is defined by applying different formulas to different parts of its domain
limit
position function
piecewise-defined function
average rate of change
3. A line through two points on the curve
critical point
secant line
circle
axis of symmetry
4. Having an increasing derivative as the independent variable increases - having a positive second derivative
absolute minimum
linear approximation
cosecant function
concave up
5. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
base (exponential and logarithmic)
linear approximation
origin
position function
6. f(-x)= -f(x)
implicit differentiation
odd function
related rates
second derivative
7. Any function closely related to the exponential function - and in particular y=a^x - for any a
constant function
exponential function
continuous function
radius of a circle
8. The rate of change of position with respect to time
domain
velocity
acceleration
trapezoidal rule
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
x-intercept
secant function
separable differential equation
x-axis
10. The x-coordinate of the point where a curve intersects the x-axis
axis of symmetry
x-intercept
instantaneous rate of change
relative minimum
11. For all x in [a -b] - f'(x)<0
decreasing on an interval
piecewise-defined function
rate of change
maximum
12. The number which - when raised to the power of a given logarithm - produces a given number
base (exponential and logarithmic)
integrand
decreasing on an interval
region (in a plane)
13. 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
secant function
local linearization
constant function
instantaneous rate of change
14. The set of points in a plane that are equidistant from a given point
circle
integration
tangent line
tangent function
15. The limit of f as x approaches c from the right
y-intercept
circle
product rule
right-hand limit
16. The solid figure generated by revolving a plane region around a line
solid of revolution
trapezoidal rule
rate of change
average rate of change
17. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
chain rule
speed
sine function
piecewise-defined function
18. The function y=lnx is the inverse of the exponential function y=e^x
cotangent function
sine function
natural logarithm
product rule
19. A function has a relative minimum if the derivative changes signs from negative to zero to positive
chain rule
relative minimum
implicit differentiation
position function
20. The set of all values that can be assumed by the independent variable of a function
domain
rate of change
implicit differentiation
velocity
21. The absolute value or magnitude of velocity
speed
average rate of change
instantaneous velocity
exponential function
22. 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.
rate of change
piecewise-defined function
trapezoidal rule
limit of integration
23. 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)
continuity on an interval
maximum
secant function
24. Any ordered pair (x -y) where f'(x)=0 or is undefined
local extrema
critical point
amplitude
right-hand sum
25. The local and global maximums and minumums of a function
natural logarithm
extrenum
definite integral
critical value
26. A function has a relative maximum if the derivative changes signs from positive to zero to negative
relative maximum
y-intercept
definite integral
odd function
27. A line around which a geometric figure is symmetrical
antiderivative
circle
axis of symmetry
discontinuity
28. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
critical point
prime notation
normal line
integrable function
29. An indefinite integral. an arbitrary constant '+c' is included
product rule
extrenum
antiderivative
axis of rotation
30. A function that is continuous at every point on the interval
antidifferentiation
continuity on an interval
speed
local extrema
31. The differentiation of an implicit function with respect to the independent variable
x-intercept
acceleration
implicit differentiation
sine function
32. 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)
critical point
closed interval [a -b]
critical value
tangent line
33. 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
tangent line
right-hand sum
cotangent function
left-hand sum
34. The reciprocal of the cosine function
critical value
secant function
x-intercept
first derivative test
35. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
relative maximum
integration
odd function
limit
36. The derivative of the first derivative
coefficient
second derivative
slope
zero of a function
37. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
local linearization
arctangent function
zero of a function
continuity on an interval
38. The process of finding the derivative of a function
linear function
differentiation
critical value
acceleration
39. A line around which some body or curve rotates
optimization
separable differential equation
axis of rotation
antiderivative
40. 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
local extrema
relative maximum
radius of a circle
coefficient
41. Local maximums of minimums of a function
concave down
y-intercept
local extrema
amplitude
42. The reciprocal of the tangent function
speed
cotangent function
x-intercept
relative maximum
43. 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
circle
exponential function
tangent function
linear function
44. The y-coordinate of a point where a curve intersects the y-axis
right-hand sum
right-hand limit
y-intercept
absolute minimum
45. A function that possesses a finite integral; the function must be continuous on the interval of integration
sine function
y-axis
critical point
integrable function
46. The reciprocal of the sine function
integrand
cosecant function
zero of a function
arctangent function
47. 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
zero of a function
relative minimum
speed
48. In integrating composite function - either using pattern recognition or change of variables to perform the integration
linear approximation
arccosine function
integration by substitution
tangent line
49. A function that is continuous on both the left and right side at that point
continuity at a point
integration by substitution
coefficient
domain
50. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
approximation
sine function
axis of rotation
absolute minimum