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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. A function that is defined by applying different formulas to different parts of its domain
arccosine function
continuous function
piecewise-defined function
minimum

2. The set of all values that can be assumed by the independent variable of a function
limit of integration
domain
prime notation
relative minimum

3. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
region (in a plane)
definite integral
second derivative
right-hand limit

4. The inverse of the sine function
position function
approximation
integrand
arcsine function

5. Either of the endpoints of an interval over which a definite integral is to be evaluated
left-hand sum
concave up
acceleration
limit of integration

6. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
average rate of change
y-intercept
odd function

7. 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
odd function
extrenum
separable differential equation
continuity at a point

8. Notation used for the first derivative of a function
position function
dy/dx (Leibniz notation)
maximum
minimum

9. The derivative of the first derivative
second derivative
arctangent function
cosine function
arcsine function

10. 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
second derivative
x-axis
odd function
coefficient

11. Slope between two points on a function
antidifferentiation
cotangent function
amplitude
average rate of change

12. An indefinite integral. an arbitrary constant '+c' is included
continuous function
root of an equation
antiderivative
velocity

13. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
base (exponential and logarithmic)
domain
second derivative test
zero of a function

14. The function that is integrated in an integral
absolute maximum
integrand
critical point
tangent line

15. 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
trapezoidal rule
rate of change
instantaneous velocity
instantaneous rate of change

16. The reciprocal of the sine function
position function
cosecant function
trapezoidal rule
slope

17. The horizontal axis of the Cartesian coordinate system
x-axis
local linearization
continuous function
tangent line

18. The x-coordinate of the point where a curve intersects the x-axis
left-hand sum
circle
integrand
x-intercept

19. The reciprocal of the cosine function
solid of revolution
secant function
separable differential equation
second derivative test

20. A number which serves as an estimate of a desired number
cosine function
approximation
first derivative test
differentiability

21. Any x values where f'(x)=0 or is undefined
critical value
tangent function
integrable function
increasing on an interval

22. A function that can be expressed in the form f(x)=mx+b
origin
x-intercept
amplitude
linear function

23. A line around which some body or curve rotates
axis of rotation
circle
arcsine function
extrenum

24. The y-coordinate of a point where a curve intersects the y-axis
y-intercept
differentiability
secant function
local linearization

25. The ratio x/r with r being the distance of (x -y) from the origin
average rate of change
cosine function
absolute minimum
limit

26. The number which - when raised to the power of a given logarithm - produces a given number
base (exponential and logarithmic)
natural logarithm
radius of a circle
differentiation

27. 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
cosecant function
middle sum
arcsine function
tangent line

28. A function has a relative maximum if the derivative changes signs from positive to zero to negative
indefinite integral
root of an equation
domain
relative maximum

29. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
cotangent function
minimum
concave down
absolute maximum

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.
limit of integration
decreasing on an interval
second derivative test
coefficient

31. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
local linearization
product rule
chain rule
indefinite integral

32. 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)
y-intercept
closed interval [a -b]
minimum
tangent line

33. In integrating composite function - either using pattern recognition or change of variables to perform the integration
integration by substitution
right-hand sum
discontinuity
x-axis

34. f(-x)= -f(x)
odd function
related rates
integration by substitution
constant of integration

35. A function has a relative minimum if the derivative changes signs from negative to zero to positive
acceleration
relative minimum
velocity
differentiability

36. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
prime notation
trapezoidal rule
velocity
integrand

37. The smallest value of a function for each value of the domain
minimum
maximum
secant function
limit of integration

38. The process of evaluating an indefinite integral
arcsine function
dy/dx (Leibniz notation)
antidifferentiation
local linearization

39. The highest value of a function for each value of the domain
root of an equation
velocity
maximum
inflection point

40. The process of finding the derivative of a function
linear function
differentiability
minimum
differentiation

41. Any ordered pair (x -y) where f'(x)=0 or is undefined
integration
prime notation
critical point
exponential function

42. A function that is continuous on both the left and right side at that point
minimum
indefinite integral
continuity at a point
domain

43. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
concave down
region (in a plane)
critical point
cosine function

44. The vertical axis of the Cartesian coordinate system
y-axis
definite integral
velocity
coefficient

45. Any function closely related to the exponential function - and in particular y=a^x - for any a
domain
x-intercept
arctangent function
exponential function

46. The point (0 -0) in the Cartesian coordinate plane
average rate of change
origin
rate of change
speed

47. For all x in [a -b] - f'(x)<0
decreasing on an interval
radius of a circle
cosine function
right-hand limit

48. The inverse of the tangent function
arctangent function
differentiability
absolute minimum
relative minimum

49. For all x in [a -b] - f'(x)>0
closed interval [a -b]
absolute maximum
increasing on an interval
relative minimum

50. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
instantaneous rate of change
integration
instantaneous velocity
linear approximation