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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. f(-x)= -f(x)
sine function
odd function
increasing on an interval
axis of symmetry
2. The solid figure generated by revolving a plane region around a line
critical point
x-axis
absolute minimum
solid of revolution
3. The point (0 -0) in the Cartesian coordinate plane
velocity
origin
acceleration
right-hand limit
4. The set of points in a plane that are equidistant from a given point
product rule
circle
tangent line
implicit differentiation
5. The limit of f as x approaches c from the right
differentiation
constant of integration
amplitude
right-hand limit
6. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
region (in a plane)
absolute minimum
optimization
constant function
7. 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
circle
middle sum
limit of integration
product rule
8. The highest value of a function for each value of the domain
rate of change
maximum
circle
critical value
9. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
axis of symmetry
linear approximation
base (exponential and logarithmic)
domain
10. A function f that gives the position f(t) of a body on a coordinate axis at time t
product rule
coefficient
position function
zero of a function
11. 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.
instantaneous rate of change
trapezoidal rule
right-hand sum
decreasing on an interval
12. A line through two points on the curve
extrenum
y-intercept
closed interval [a -b]
secant line
13. Either of the endpoints of an interval over which a definite integral is to be evaluated
chain rule
limit
limit of integration
critical value
14. A=x=b
exponential function
closed interval [a -b]
prime notation
minimum
15. Having a decreasing derivative as the independent variable increases; having a negative second derivative
local extrema
right-hand sum
concave down
region (in a plane)
16. 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
odd function
integrand
17. If a function has a well-defined derivative for each element of the domain
differentiability
antidifferentiation
continuity at a point
piecewise-defined function
18. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
separable differential equation
prime notation
arctangent function
middle sum
19. The amount of change divided by the time it takes
extrenum
constant function
rate of change
minimum
20. The smallest value of a function for each value of the domain
implicit differentiation
tangent function
local extrema
minimum
21. Having an increasing derivative as the independent variable increases - having a positive second derivative
arccosine function
critical point
odd function
concave up
22. The process by which an antiderivative is calculated
solid of revolution
axis of rotation
radius of a circle
integration
23. An arbitrary constant term in the expression of the indefinite integral of a function
constant of integration
trapezoidal rule
axis of rotation
circle
24. A function that can be expressed in the form f(x)=mx+b
sine function
maximum
natural logarithm
linear function
25. The reciprocal of the tangent function
exponential function
cross-sectional area
x-intercept
cotangent function
26. Slope between two points on a function
linear approximation
average rate of change
critical value
arccosine function
27. In periodic functions - the height of the function at the maximum to the middle line
concave up
prime notation
amplitude
inflection point
28. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
implicit differentiation
definite integral
natural logarithm
continuous function
29. The process of evaluating an indefinite integral
antidifferentiation
integration by substitution
constant function
product rule
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
discontinuity
antiderivative
integration
related rates
31. A segment from the center of the circle to a point on the circle
critical value
related rates
radius of a circle
domain
32. A number which serves as an estimate of a desired number
approximation
integrand
x-intercept
discontinuity
33. The derivative of the first derivative
constant function
axis of symmetry
minimum
second derivative
34. 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
right-hand limit
antiderivative
first derivative test
amplitude
35. The x-coordinate of the point where a curve intersects the x-axis
indefinite integral
integration by substitution
cross-sectional area
x-intercept
36. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
integration by substitution
related rates
continuous function
37. The reciprocal of the sine function
differentiation
solid of revolution
cosecant function
separable differential equation
38. A function that is defined by applying different formulas to different parts of its domain
piecewise-defined function
right-hand sum
arcsine function
zero of a function
39. The horizontal axis of the Cartesian coordinate system
middle sum
coefficient
cross-sectional area
x-axis
40. An indefinite integral. an arbitrary constant '+c' is included
amplitude
average rate of change
closed interval [a -b]
antiderivative
41. The inverse of the sine function
product rule
arcsine function
acceleration
velocity
42. Local maximums of minimums of a function
maximum
local extrema
implicit differentiation
relative maximum
43. For all x in [a -b] - f'(x)<0
decreasing on an interval
optimization
separable differential equation
acceleration
44. A function that is continuous on both the left and right side at that point
y-axis
y-intercept
x-intercept
continuity at a point
45. 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
integration
exponential function
critical value
coefficient
46. The ratio x/r with r being the distance of (x -y) from the origin
cotangent function
continuity on an interval
cosine function
secant line
47. A function has a relative maximum if the derivative changes signs from positive to zero to negative
linear approximation
circle
relative maximum
product rule
48. A function has a relative minimum if the derivative changes signs from negative to zero to positive
limit
relative minimum
right-hand sum
coefficient
49. The number which - when raised to the power of a given logarithm - produces a given number
average rate of change
relative maximum
implicit differentiation
base (exponential and logarithmic)
50. The inverse of the tangent function
solid of revolution
absolute minimum
arctangent function
secant function