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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. In integrating composite function - either using pattern recognition or change of variables to perform the integration
differentiation
x-intercept
integration by substitution
right-hand sum
2. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
base (exponential and logarithmic)
definite integral
antiderivative
first derivative test
3. A number which serves as an estimate of a desired number
approximation
tangent function
product rule
radius of a circle
4. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
integrand
limit
instantaneous velocity
maximum
5. The local and global maximums and minumums of a function
middle sum
left-hand sum
extrenum
secant line
6. The smallest value of a function for each value of the domain
secant function
integrand
minimum
natural logarithm
7. Local maximums of minimums of a function
root of an equation
prime notation
indefinite integral
local extrema
8. Notation used for the first derivative of a function
middle sum
first derivative test
right-hand sum
dy/dx (Leibniz notation)
9. Slope between two points on a function
middle sum
average rate of change
amplitude
continuous function
10. The reciprocal of the sine function
domain
instantaneous velocity
cosecant function
cross-sectional area
11. 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.
natural logarithm
discontinuity
second derivative test
arctangent function
12. The inverse of the sine function
y-axis
x-axis
arcsine function
solid of revolution
13. 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.
dy/dx (Leibniz notation)
limit of integration
concave up
trapezoidal rule
14. The x-coordinate of the point where a curve intersects the x-axis
antidifferentiation
x-intercept
concave up
differentiation
15. 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
instantaneous rate of change
second derivative test
odd function
discontinuity
16. The horizontal axis of the Cartesian coordinate system
x-axis
left-hand sum
root of an equation
acceleration
17. The ratio x/r with r being the distance of (x -y) from the origin
cosine function
base (exponential and logarithmic)
tangent line
axis of rotation
18. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
product rule
y-intercept
right-hand limit
limit
19. An arbitrary constant term in the expression of the indefinite integral of a function
instantaneous rate of change
constant of integration
cotangent function
concave down
20. An indefinite integral. an arbitrary constant '+c' is included
axis of symmetry
antidifferentiation
antiderivative
cotangent function
21. The vertical axis of the Cartesian coordinate system
x-axis
y-axis
indefinite integral
instantaneous rate of change
22. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
amplitude
integration by substitution
absolute maximum
x-axis
23. 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 left-most point of the sub-interval
limit
left-hand sum
approximation
trapezoidal rule
24. The function y=lnx is the inverse of the exponential function y=e^x
trapezoidal rule
solid of revolution
second derivative
natural logarithm
25. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
left-hand sum
local linearization
instantaneous rate of change
arcsine function
26. If a function has a well-defined derivative for each element of the domain
maximum
instantaneous velocity
critical point
differentiability
27. 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
natural logarithm
arcsine function
tangent function
28. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
tangent function
absolute minimum
linear approximation
secant function
29. Any function closely related to the exponential function - and in particular y=a^x - for any a
exponential function
velocity
cosine function
prime notation
30. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
integrand
tangent function
amplitude
prime notation
31. A=x=b
closed interval [a -b]
right-hand limit
y-intercept
relative maximum
32. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
tangent line
cosine function
indefinite integral
region (in a plane)
33. The function that is integrated in an integral
position function
cosecant function
integrand
x-intercept
34. A function has a relative maximum if the derivative changes signs from positive to zero to negative
exponential function
arcsine function
relative maximum
limit of integration
35. For all x in [a -b] - f'(x)<0
y-axis
axis of symmetry
region (in a plane)
decreasing on an interval
36. A function has a relative minimum if the derivative changes signs from negative to zero to positive
x-intercept
relative minimum
root of an equation
velocity
37. The absolute value or magnitude of velocity
speed
x-axis
continuity at a point
arccosine function
38. The reciprocal of the tangent function
y-intercept
cotangent function
concave up
critical point
39. Any ordered pair (x -y) where f'(x)=0 or is undefined
linear function
approximation
concave up
critical point
40. A function that can be expressed in the form f(x)=mx+b
limit of integration
continuous function
relative maximum
linear function
41. The solid figure generated by revolving a plane region around a line
tangent function
y-intercept
rate of change
solid of revolution
42. The derivative of the first derivative
normal line
zero of a function
instantaneous rate of change
second derivative
43. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative
linear function
indefinite integral
related rates
zero of a function
44. In periodic functions - the height of the function at the maximum to the middle line
extrenum
amplitude
relative maximum
right-hand sum
45. 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
differentiation
instantaneous velocity
odd function
first derivative test
46. A function such that the following is true
secant line
x-intercept
domain
continuous function
47. A function that is defined by applying different formulas to different parts of its domain
zero of a function
piecewise-defined function
right-hand limit
concave up
48. Having an increasing derivative as the independent variable increases - having a positive second derivative
discontinuity
concave up
minimum
instantaneous rate of change
49. A function that possesses a finite integral; the function must be continuous on the interval of integration
second derivative test
integrable function
domain
axis of rotation
50. For all x in [a -b] - f'(x)>0
local extrema
optimization
increasing on an interval
cross-sectional area