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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 reenforces your understanding as you take the test each time.
1. A point where a function changes concavity; also  where the second derivative changes signs
discontinuity
average rate of change
inflection point
cosecant function
2. A trigonometric function that in a rightangled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side
dy/dx (Leibniz notation)
secant function
tangent function
continuity at a point
3. A function has a relative minimum if the derivative changes signs from negative to zero to positive
constant function
continuous function
yintercept
relative minimum
4. Either of the endpoints of an interval over which a definite integral is to be evaluated
critical value
xaxis
limit of integration
increasing on an interval
5. The point (0 0) in the Cartesian coordinate plane
discontinuity
definite integral
origin
concave up
6. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
instantaneous velocity
implicit differentiation
linear approximation
base (exponential and logarithmic)
7. A line perpendicular to a tangent line at the point of tangency
coefficient
axis of symmetry
normal line
minimum
8. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
sine function
instantaneous velocity
decreasing on an interval
radius of a circle
9. Slope between two points on a function
critical point
average rate of change
product rule
linear function
10. The rate of change of the velocity with respect to time. the second derivative of a position function
antidifferentiation
lefthand sum
acceleration
root of an equation
11. The highest value of a function for each value of the domain
slope
arctangent function
approximation
maximum
12. The function y=lnx is the inverse of the exponential function y=e^x
natural logarithm
xaxis
domain
integration by substitution
13. A function that can be expressed in the form f(x)=mx+b
righthand limit
lefthand sum
linear function
cotangent function
14. The process of finding the derivative of a function
arccosine function
odd function
region (in a plane)
differentiation
15. 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.
position function
solid of revolution
second derivative test
limit
16. 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.
minimum
continuity at a point
trapezoidal rule
root of an equation
17. A connected subset of twodimensional space  such as the set of points (x y) enclosed by equations of functions and boundary points
axis of rotation
linear approximation
region (in a plane)
integrand
18. 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
local linearization
separable differential equation
product rule
zero of a function
19. The function that is integrated in an integral
slope
absolute minimum
integrand
absolute maximum
20. A function has a relative maximum if the derivative changes signs from positive to zero to negative
second derivative
product rule
integrand
relative maximum
21. The amount of change divided by the time it takes
linear approximation
average rate of change
constant function
rate of change
22. The rate of change of position with respect to time
critical point
domain
instantaneous rate of change
velocity
23. The local and global maximums and minumums of a function
extrenum
crosssectional area
piecewisedefined function
solid of revolution
24. 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)
tangent line
absolute minimum
secant function
concave up
25. The value that the function is approaching as x approaches a given value; the left and righthand limits must agree
position function
limit
relative maximum
slope
26. 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 xaxis
domain
slope
concave down
radius of a circle
27. A function f that gives the position f(t) of a body on a coordinate axis at time t
position function
instantaneous velocity
indefinite integral
relative minimum
28. The xcoordinate of the point where a curve intersects the xaxis
trapezoidal rule
xintercept
base (exponential and logarithmic)
integration
29. A function such that the following is true
position function
arcsine function
continuous function
acceleration
30. A function that is continuous at every point on the interval
integrable function
base (exponential and logarithmic)
continuity on an interval
instantaneous rate of change
31. An indefinite integral. an arbitrary constant '+c' is included
constant of integration
separable differential equation
concave down
antiderivative
32. A line around which some body or curve rotates
root of an equation
amplitude
extrenum
axis of rotation
33. The inverse of the tangent function
axis of rotation
rate of change
arctangent function
local linearization
34. A=x=b
implicit differentiation
closed interval [a b]
secant function
amplitude
35. 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
related rates
approximation
instantaneous rate of change
tangent line
36. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
middle sum
arcsine function
crosssectional area
optimization
37. A line around which a geometric figure is symmetrical
amplitude
inflection point
axis of symmetry
base (exponential and logarithmic)
38. 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
xintercept
coefficient
root of an equation
velocity
39. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
discontinuity
definite integral
arcsine function
second derivative
40. The limit of f as x approaches c from the right
product rule
righthand limit
piecewisedefined function
continuous function
41. 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
discontinuity
average rate of change
relative minimum
zero of a function
42. A rectangular sum of the area under a curve where the domain is divided into subintervals and the height of each rectangle is the function value at the midpoint of the subinterval
limit
middle sum
chain rule
cosecant function
43. A function that is defined by applying different formulas to different parts of its domain
normal line
prime notation
differentiability
piecewisedefined function
44. If a function has a welldefined derivative for each element of the domain
limit
differentiability
yintercept
domain
45. A function that possesses a finite integral; the function must be continuous on the interval of integration
odd function
domain
yaxis
integrable function
46. Having an increasing derivative as the independent variable increases  having a positive second derivative
concave up
circle
exponential function
definite integral
47. For all x in [a b]  f'(x)<0
integrable function
decreasing on an interval
increasing on an interval
absolute minimum
48. 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
first derivative test
integration
closed interval [a b]
radius of a circle
49. A method of obtaining the derivative of a composite function
product rule
dy/dx (Leibniz notation)
cosine function
chain rule
50. The vertical axis of the Cartesian coordinate system
indefinite integral
domain
amplitude
yaxis
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