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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. 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
prime notation
sine function
product rule
first derivative test
2. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
local linearization
sine function
secant line
tangent function
3. The number which - when raised to the power of a given logarithm - produces a given number
integrable function
base (exponential and logarithmic)
critical point
approximation
4. A line around which some body or curve rotates
rate of change
chain rule
antiderivative
axis of rotation
5. A function that can be expressed in the form f(x)=mx+b
linear function
optimization
secant line
indefinite integral
6. The function that is integrated in an integral
dy/dx (Leibniz notation)
region (in a plane)
right-hand sum
integrand
7. Having an increasing derivative as the independent variable increases - having a positive second derivative
concave up
x-intercept
piecewise-defined function
increasing on an interval
8. The process of evaluating an indefinite integral
antidifferentiation
odd function
arccosine function
critical point
9. The highest value of a function for each value of the domain
concave up
root of an equation
maximum
extrenum
10. 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
inflection point
domain
discontinuity
integration by substitution
11. 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
right-hand sum
optimization
separable differential equation
continuity on an interval
12. A function that is a fixed numerical value for all elements of the domain of the function
secant line
constant function
first derivative test
relative minimum
13. The inverse of the cosine function
minimum
arccosine function
tangent function
normal line
14. 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
tangent function
coefficient
inflection point
middle sum
15. The solid figure generated by revolving a plane region around a line
slope
root of an equation
solid of revolution
concave down
16. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
left-hand sum
concave up
velocity
linear approximation
17. A function has a relative minimum if the derivative changes signs from negative to zero to positive
cosecant function
constant of integration
relative minimum
secant line
18. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
differentiation
prime notation
maximum
region (in a plane)
19. 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
constant function
acceleration
arccosine function
instantaneous rate of change
20. The y-coordinate of a point where a curve intersects the y-axis
second derivative test
y-intercept
increasing on an interval
x-intercept
21. The point (0 -0) in the Cartesian coordinate plane
minimum
origin
dy/dx (Leibniz notation)
x-intercept
22. A function that is continuous at every point on the interval
continuity on an interval
axis of symmetry
radius of a circle
continuous function
23. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
x-axis
extrenum
secant line
zero of a function
24. A function that possesses a finite integral; the function must be continuous on the interval of integration
discontinuity
tangent line
integrable function
secant function
25. The rate of change of position with respect to time
velocity
limit of integration
differentiation
chain rule
26. A number which serves as an estimate of a desired number
natural logarithm
coefficient
approximation
constant function
27. 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
closed interval [a -b]
coefficient
right-hand sum
velocity
28. If a function has a well-defined derivative for each element of the domain
absolute minimum
related rates
limit of integration
differentiability
29. A line through two points on the curve
cosine function
odd function
second derivative test
secant line
30. 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
tangent line
instantaneous rate of change
limit of integration
31. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
product rule
zero of a function
exponential function
constant of integration
32. The smallest value of a function for each value of the domain
decreasing on an interval
arccosine function
minimum
absolute minimum
33. An arbitrary constant term in the expression of the indefinite integral of a function
constant of integration
definite integral
decreasing on an interval
normal line
34. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
definite integral
odd function
constant function
integration by substitution
35. A function has a relative maximum if the derivative changes signs from positive to zero to negative
middle sum
relative maximum
velocity
prime notation
36. The set of all values that can be assumed by the independent variable of a function
maximum
integrand
circle
domain
37. The set of points in a plane that are equidistant from a given point
maximum
integration
second derivative test
circle
38. The absolute value or magnitude of velocity
speed
tangent function
integration by substitution
instantaneous velocity
39. The process of finding the derivative of a function
second derivative
zero of a function
natural logarithm
differentiation
40. The function y=lnx is the inverse of the exponential function y=e^x
natural logarithm
right-hand limit
amplitude
arcsine function
41. The reciprocal of the sine function
x-intercept
rate of change
cosecant function
sine function
42. An indefinite integral. an arbitrary constant '+c' is included
chain rule
antiderivative
first derivative test
arccosine function
43. A function f that gives the position f(t) of a body on a coordinate axis at time t
position function
decreasing on an interval
limit of integration
tangent line
44. 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
slope
absolute maximum
integrand
integration by substitution
45. The x-coordinate of the point where a curve intersects the x-axis
integration
x-intercept
speed
continuous function
46. 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
x-axis
root of an equation
arcsine function
antiderivative
47. The horizontal axis of the Cartesian coordinate system
x-axis
origin
cotangent function
integrable function
48. A function that is continuous on both the left and right side at that point
continuity at a point
integration by substitution
constant of integration
solid of revolution
49. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
indefinite integral
extrenum
relative maximum
differentiability
50. f(-x)= -f(x)
extrenum
cotangent function
constant of integration
odd function