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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 process of evaluating an indefinite integral
x-intercept
absolute maximum
antidifferentiation
piecewise-defined function
2. The y-coordinate of a point where a curve intersects the y-axis
normal line
y-intercept
extrenum
chain rule
3. 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
linear approximation
axis of rotation
continuity at a point
4. A function that can be expressed in the form f(x)=mx+b
linear function
related rates
prime notation
constant of integration
5. The reciprocal of the tangent function
integration by substitution
cotangent function
slope
limit of integration
6. Any function closely related to the exponential function - and in particular y=a^x - for any a
local extrema
second derivative test
exponential function
integration by substitution
7. The reciprocal of the cosine function
secant function
velocity
axis of rotation
arcsine function
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
solid of revolution
instantaneous velocity
inflection point
sine function
9. A function such that the following is true
concave down
continuous function
first derivative test
increasing on an interval
10. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
rate of change
inflection point
prime notation
second derivative test
11. The local and global maximums and minumums of a function
amplitude
x-intercept
extrenum
acceleration
12. 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
instantaneous rate of change
left-hand sum
absolute maximum
y-intercept
13. 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.
constant of integration
second derivative test
antidifferentiation
odd function
14. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute maximum
cotangent function
closed interval [a -b]
absolute minimum
15. 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
minimum
middle sum
constant function
definite integral
16. In an application - maximizing or minimizing some aspect of the system being modeled
closed interval [a -b]
secant line
optimization
speed
17. For all x in [a -b] - f'(x)>0
right-hand sum
critical value
region (in a plane)
increasing on an interval
18. Any ordered pair (x -y) where f'(x)=0 or is undefined
critical point
tangent function
constant of integration
zero of a function
19. 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
increasing on an interval
dy/dx (Leibniz notation)
discontinuity
antidifferentiation
20. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side
arcsine function
inflection point
tangent function
exponential function
21. 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
arcsine function
rate of change
continuity at a point
22. Slope between two points on a function
differentiation
arcsine function
y-axis
average rate of change
23. The rate of change of position with respect to time
rate of change
second derivative
velocity
optimization
24. An indefinite integral. an arbitrary constant '+c' is included
natural logarithm
continuity on an interval
antiderivative
product rule
25. If a function has a well-defined derivative for each element of the domain
differentiability
arcsine function
solid of revolution
chain rule
26. A line perpendicular to a tangent line at the point of tangency
normal line
extrenum
critical value
rate of change
27. A segment from the center of the circle to a point on the circle
y-axis
discontinuity
arccosine function
radius of a circle
28. Having a decreasing derivative as the independent variable increases; having a negative second derivative
concave down
instantaneous rate of change
separable differential equation
region (in a plane)
29. Having an increasing derivative as the independent variable increases - having a positive second derivative
constant function
concave up
product rule
trapezoidal rule
30. A number which serves as an estimate of a desired number
approximation
region (in a plane)
continuity on an interval
axis of rotation
31. Local maximums of minimums of a function
integrand
sine function
local extrema
coefficient
32. An arbitrary constant term in the expression of the indefinite integral of a function
first derivative test
trapezoidal rule
constant of integration
relative maximum
33. A line around which a geometric figure is symmetrical
absolute maximum
axis of symmetry
middle sum
minimum
34. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
linear approximation
second derivative
prime notation
middle sum
35. A point where a function changes concavity; also - where the second derivative changes signs
critical point
related rates
inflection point
region (in a plane)
36. The absolute value or magnitude of velocity
cosine function
solid of revolution
inflection point
speed
37. The derivative of the first derivative
arctangent function
second derivative
velocity
region (in a plane)
38. Notation used for the first derivative of a function
secant function
prime notation
dy/dx (Leibniz notation)
antiderivative
39. 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
cross-sectional area
coefficient
origin
decreasing on an interval
40. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
zero of a function
piecewise-defined function
local linearization
second derivative test
41. 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
tangent function
decreasing on an interval
origin
42. In periodic functions - the height of the function at the maximum to the middle line
implicit differentiation
tangent line
amplitude
maximum
43. 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.
approximation
x-axis
right-hand sum
trapezoidal rule
44. A method of obtaining the derivative of a composite function
right-hand sum
chain rule
optimization
velocity
45. The point (0 -0) in the Cartesian coordinate plane
natural logarithm
circle
origin
related rates
46. The x-coordinate of the point where a curve intersects the x-axis
x-intercept
natural logarithm
continuity on an interval
amplitude
47. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
related rates
concave down
product rule
normal line
48. In integrating composite function - either using pattern recognition or change of variables to perform the integration
prime notation
extrenum
integration by substitution
continuous function
49. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
circle
continuous function
domain
absolute maximum
50. The function y=lnx is the inverse of the exponential function y=e^x
continuous function
natural logarithm
arctangent function
solid of revolution