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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. Having a decreasing derivative as the independent variable increases; having a negative second derivative
implicit differentiation
concave down
absolute maximum
prime notation
2. A number which serves as an estimate of a desired number
related rates
optimization
approximation
exponential function
3. For all x in [a -b] - f'(x)>0
continuous function
increasing on an interval
linear approximation
speed
4. The highest value of a function for each value of the domain
exponential function
discontinuity
maximum
axis of rotation
5. Any function closely related to the exponential function - and in particular y=a^x - for any a
solid of revolution
inflection point
differentiation
exponential function
6. 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.
continuity at a point
speed
second derivative test
tangent line
7. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
left-hand sum
sine function
continuous function
speed
8. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
integrable function
second derivative test
acceleration
absolute maximum
9. The x-coordinate of the point where a curve intersects the x-axis
x-intercept
zero of a function
chain rule
maximum
10. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
chain rule
critical point
instantaneous velocity
approximation
11. A line around which some body or curve rotates
secant function
axis of rotation
definite integral
normal line
12. The inverse of the tangent function
second derivative test
minimum
integration by substitution
arctangent function
13. Local maximums of minimums of a function
slope
second derivative
local extrema
right-hand sum
14. 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
x-axis
zero of a function
limit
slope
15. Any ordered pair (x -y) where f'(x)=0 or is undefined
secant function
integrand
critical point
piecewise-defined function
16. A line through two points on the curve
acceleration
secant line
relative minimum
concave down
17. Either of the endpoints of an interval over which a definite integral is to be evaluated
chain rule
approximation
product rule
limit of integration
18. 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
decreasing on an interval
limit
left-hand sum
zero of a function
19. Any x values where f'(x)=0 or is undefined
instantaneous rate of change
integration
natural logarithm
critical value
20. A function that can be expressed in the form f(x)=mx+b
integration by substitution
discontinuity
root of an equation
linear function
21. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
discontinuity
axis of symmetry
local linearization
critical value
22. A function that is a fixed numerical value for all elements of the domain of the function
x-axis
constant function
integrand
domain
23. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
x-axis
implicit differentiation
prime notation
cotangent function
24. A function that is continuous at every point on the interval
piecewise-defined function
tangent line
secant line
continuity on an interval
25. An indefinite integral. an arbitrary constant '+c' is included
relative minimum
instantaneous velocity
chain rule
antiderivative
26. The differentiation of an implicit function with respect to the independent variable
integrand
arccosine function
definite integral
implicit differentiation
27. The number which - when raised to the power of a given logarithm - produces a given number
critical value
zero of a function
middle sum
base (exponential and logarithmic)
28. The smallest value of a function for each value of the domain
arcsine function
minimum
y-intercept
speed
29. The amount of change divided by the time it takes
integration
cosine function
rate of change
axis of rotation
30. A function such that the following is true
inflection point
root of an equation
continuity on an interval
continuous function
31. 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
arcsine function
first derivative test
cosine function
discontinuity
32. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
related rates
x-intercept
critical value
product rule
33. The function that is integrated in an integral
differentiation
slope
zero of a function
integrand
34. The inverse of the sine function
arcsine function
absolute minimum
limit of integration
continuity at a point
35. The absolute value or magnitude of velocity
local linearization
cotangent function
natural logarithm
speed
36. The derivative of the first derivative
root of an equation
instantaneous velocity
limit of integration
second derivative
37. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
definite integral
natural logarithm
discontinuity
arctangent function
38. A function has a relative maximum if the derivative changes signs from positive to zero to negative
relative maximum
prime notation
sine function
absolute maximum
39. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
minimum
absolute minimum
constant of integration
increasing on an interval
40. The solid figure generated by revolving a plane region around a line
constant of integration
cross-sectional area
arctangent function
solid of revolution
41. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
origin
differentiation
maximum
limit
42. If a function has a well-defined derivative for each element of the domain
piecewise-defined function
arcsine function
differentiability
linear function
43. 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
arctangent function
left-hand sum
continuity at a point
related rates
44. The y-coordinate of a point where a curve intersects the y-axis
prime notation
domain
y-intercept
tangent function
45. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
arccosine function
cotangent function
continuity on an interval
46. f(-x)= -f(x)
odd function
zero of a function
radius of a circle
tangent line
47. 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
differentiation
root of an equation
rate of change
arctangent function
48. A point where a function changes concavity; also - where the second derivative changes signs
inflection point
constant function
minimum
left-hand sum
49. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
position function
cross-sectional area
product rule
critical value
50. A line perpendicular to a tangent line at the point of tangency
minimum
local linearization
normal line
second derivative