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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 rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
indefinite integral
integration by substitution
secant line
2. A function f that gives the position f(t) of a body on a coordinate axis at time t
tangent line
dy/dx (Leibniz notation)
y-axis
position function
3. The solid figure generated by revolving a plane region around a line
exponential function
solid of revolution
trapezoidal rule
relative maximum
4. The inverse of the cosine function
separable differential equation
arccosine function
local extrema
coefficient
5. The set of all values that can be assumed by the independent variable of a function
domain
cosine function
root of an equation
optimization
6. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
definite integral
increasing on an interval
arcsine function
position function
7. The amount of change divided by the time it takes
continuity on an interval
definite integral
rate of change
antidifferentiation
8. The derivative of the first derivative
base (exponential and logarithmic)
tangent line
piecewise-defined function
second derivative
9. The inverse of the tangent function
linear function
arctangent function
local linearization
arcsine function
10. The function that is integrated in an integral
integrand
concave down
critical point
relative maximum
11. A line around which a geometric figure is symmetrical
axis of symmetry
y-intercept
decreasing on an interval
right-hand sum
12. 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
chain rule
discontinuity
speed
domain
13. A function that possesses a finite integral; the function must be continuous on the interval of integration
axis of rotation
integrable function
local extrema
cotangent function
14. The process by which an antiderivative is calculated
speed
right-hand sum
exponential function
integration
15. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
trapezoidal rule
differentiability
sine function
root of an equation
16. The smallest value of a function for each value of the domain
linear function
minimum
second derivative
integration by substitution
17. For all x in [a -b] - f'(x)<0
extrenum
coefficient
tangent function
decreasing on an interval
18. The x-coordinate of the point where a curve intersects the x-axis
x-intercept
definite integral
linear function
middle sum
19. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
instantaneous velocity
critical value
decreasing on an interval
integrand
20. Slope between two points on a function
middle sum
radius of a circle
average rate of change
critical value
21. f(-x)= -f(x)
sine function
speed
coefficient
odd function
22. A segment from the center of the circle to a point on the circle
second derivative test
maximum
radius of a circle
secant function
23. The process of finding the derivative of a function
integrand
chain rule
approximation
differentiation
24. 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
decreasing on an interval
zero of a function
coefficient
odd function
25. A function has a relative maximum if the derivative changes signs from positive to zero to negative
integration
relative maximum
y-intercept
integrand
26. An arbitrary constant term in the expression of the indefinite integral of a function
domain
x-axis
minimum
constant of integration
27. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute minimum
arcsine function
extrenum
region (in a plane)
28. The differentiation of an implicit function with respect to the independent variable
arctangent function
product rule
axis of symmetry
implicit differentiation
29. The process of evaluating an indefinite integral
maximum
tangent line
antidifferentiation
continuity on an interval
30. 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.
solid of revolution
secant line
second derivative test
first derivative test
31. The local and global maximums and minumums of a function
secant function
prime notation
extrenum
absolute maximum
32. Having a decreasing derivative as the independent variable increases; having a negative second derivative
chain rule
left-hand sum
concave down
indefinite integral
33. A line through two points on the curve
secant line
axis of symmetry
cotangent function
exponential function
34. In periodic functions - the height of the function at the maximum to the middle line
sine function
amplitude
average rate of change
speed
35. The number which - when raised to the power of a given logarithm - produces a given number
sine function
base (exponential and logarithmic)
tangent line
first derivative test
36. The function y=lnx is the inverse of the exponential function y=e^x
acceleration
natural logarithm
discontinuity
exponential function
37. In integrating composite function - either using pattern recognition or change of variables to perform the integration
instantaneous velocity
root of an equation
integration by substitution
limit
38. The horizontal axis of the Cartesian coordinate system
x-axis
limit
piecewise-defined function
tangent function
39. 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
rate of change
instantaneous velocity
domain
separable differential equation
40. The reciprocal of the sine function
absolute minimum
limit
cosecant function
second derivative test
41. The inverse of the sine function
x-intercept
second derivative test
arcsine function
cosine function
42. A function such that the following is true
integration
position function
continuous function
x-intercept
43. The point (0 -0) in the Cartesian coordinate plane
origin
closed interval [a -b]
definite integral
region (in a plane)
44. The highest value of a function for each value of the domain
right-hand sum
maximum
origin
base (exponential and logarithmic)
45. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
limit
increasing on an interval
limit of integration
slope
46. The y-coordinate of a point where a curve intersects the y-axis
acceleration
y-intercept
second derivative test
first derivative test
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
root of an equation
arcsine function
indefinite integral
normal line
48. A function that is defined by applying different formulas to different parts of its domain
piecewise-defined function
minimum
dy/dx (Leibniz notation)
axis of symmetry
49. A line perpendicular to a tangent line at the point of tangency
inflection point
normal line
acceleration
approximation
50. 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
circle
definite integral
integration by substitution