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AP Calculus Vocab

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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 process by which an antiderivative is calculated
domain
integration
dy/dx (Leibniz notation)
concave down

2. An indefinite integral. an arbitrary constant '+c' is included
extrenum
arcsine function
position function
antiderivative

3. The rate of change of position with respect to time
velocity
average rate of change
closed interval [a -b]
local extrema

4. 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
right-hand sum
discontinuity
integrable function
optimization

5. The absolute value or magnitude of velocity
speed
acceleration
decreasing on an interval
continuity at a point

6. Having a decreasing derivative as the independent variable increases; having a negative second derivative
zero of a function
first derivative test
concave down
region (in a plane)

7. A function has a relative minimum if the derivative changes signs from negative to zero to positive
trapezoidal rule
axis of symmetry
relative minimum
base (exponential and logarithmic)

8. A function such that the following is true
constant function
closed interval [a -b]
continuous function
relative minimum

9. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
average rate of change
axis of rotation
prime notation
limit

10. Slope between two points on a function
extrenum
left-hand sum
acceleration
average rate of change

11. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute maximum
constant function
y-axis
indefinite integral

12. Either of the endpoints of an interval over which a definite integral is to be evaluated
cosecant function
limit of integration
inflection point
differentiation

13. The inverse of the tangent function
differentiation
zero of a function
base (exponential and logarithmic)
arctangent function

14. A line perpendicular to a tangent line at the point of tangency
decreasing on an interval
normal line
separable differential equation
maximum

15. The ratio x/r with r being the distance of (x -y) from the origin
second derivative test
cosine function
normal line
instantaneous rate of change

16. A function that is a fixed numerical value for all elements of the domain of the function
constant function
arccosine function
velocity
second derivative

17. The reciprocal of the tangent function
instantaneous rate of change
odd function
integrand
cotangent function

18. A line around which some body or curve rotates
cotangent function
axis of rotation
local linearization
maximum

19. The horizontal axis of the Cartesian coordinate system
tangent line
separable differential equation
x-axis
sine function

20. Local maximums of minimums of a function
related rates
integrable function
continuous function
local extrema

21. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
limit
solid of revolution
integration by substitution
instantaneous velocity

22. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
zero of a function
trapezoidal rule
sine function
limit

23. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
secant line
local linearization
first derivative test
limit of integration

24. In periodic functions - the height of the function at the maximum to the middle line
amplitude
constant of integration
linear function
optimization

25. The set of points in a plane that are equidistant from a given point
velocity
related rates
circle
dy/dx (Leibniz notation)

26. The number which - when raised to the power of a given logarithm - produces a given number
integrable function
y-axis
base (exponential and logarithmic)
constant function

27. The differentiation of an implicit function with respect to the independent variable
optimization
left-hand sum
instantaneous rate of change
implicit differentiation

28. Notation used for the first derivative of a function
dy/dx (Leibniz notation)
y-axis
right-hand limit
constant of integration

29. The highest value of a function for each value of the domain
cotangent function
indefinite integral
x-intercept
maximum

30. 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
separable differential equation
local linearization
linear function
origin

31. The set of all values that can be assumed by the independent variable of a function
second derivative
domain
absolute maximum
differentiability

32. The process of finding the derivative of a function
chain rule
differentiation
approximation
y-axis

33. The inverse of the cosine function
arccosine function
prime notation
sine function
slope

34. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
absolute maximum
sine function
origin
linear function

35. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
position function
arcsine function
right-hand sum
linear approximation

36. The vertical axis of the Cartesian coordinate system
limit
y-axis
integration by substitution
separable differential equation

37. The function y=lnx is the inverse of the exponential function y=e^x
minimum
radius of a circle
natural logarithm
prime notation

38. The derivative of the first derivative
speed
constant of integration
arcsine function
second derivative

39. f(-x)= -f(x)
y-intercept
odd function
extrenum
second derivative test

40. For all x in [a -b] - f'(x)<0
x-axis
decreasing on an interval
integration
right-hand sum

41. The y-coordinate of a point where a curve intersects the y-axis
concave up
acceleration
tangent line
y-intercept

42. The process of evaluating an indefinite integral
extrenum
continuity at a point
critical point
antidifferentiation

43. The reciprocal of the cosine function
secant function
approximation
prime notation
inflection point

44. A=x=b
origin
right-hand limit
closed interval [a -b]
constant function

45. A segment from the center of the circle to a point on the circle
axis of symmetry
zero of a function
antidifferentiation
radius of a circle

46. Any ordered pair (x -y) where f'(x)=0 or is undefined
secant line
odd function
exponential function
critical point

47. The reciprocal of the sine function
right-hand sum
cosecant function
odd function
optimization

48. 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
local extrema
optimization
root of an equation
local linearization

49. 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
instantaneous velocity
arctangent function
coefficient
x-intercept

50. Any function closely related to the exponential function - and in particular y=a^x - for any a
velocity
second derivative
exponential function
indefinite integral