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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 smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
secant function
absolute minimum
natural logarithm
limit of integration
2. 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.
antidifferentiation
second derivative test
relative minimum
concave up
3. The reciprocal of the cosine function
average rate of change
secant function
cosecant function
relative minimum
4. 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 right-most point of the sub-interval
axis of rotation
base (exponential and logarithmic)
left-hand sum
right-hand sum
5. The derivative of the first derivative
second derivative
increasing on an interval
relative maximum
chain rule
6. The inverse of the tangent function
instantaneous velocity
trapezoidal rule
cosecant function
arctangent function
7. 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
coefficient
second derivative test
limit
integrand
8. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
axis of symmetry
y-axis
secant function
product rule
9. The y-coordinate of a point where a curve intersects the y-axis
zero of a function
y-intercept
product rule
piecewise-defined function
10. The function that is integrated in an integral
integrand
local extrema
amplitude
antidifferentiation
11. The process by which an antiderivative is calculated
integration
odd function
approximation
linear approximation
12. The point (0 -0) in the Cartesian coordinate plane
antidifferentiation
origin
rate of change
constant of integration
13. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
continuity on an interval
concave up
secant function
14. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
discontinuity
coefficient
linear approximation
definite integral
15. An arbitrary constant term in the expression of the indefinite integral of a function
natural logarithm
constant of integration
integration by substitution
normal line
16. Any x values where f'(x)=0 or is undefined
critical value
normal line
integrand
extrenum
17. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
separable differential equation
instantaneous velocity
closed interval [a -b]
cross-sectional area
18. A function that is a fixed numerical value for all elements of the domain of the function
tangent line
maximum
constant function
separable differential equation
19. The vertical axis of the Cartesian coordinate system
separable differential equation
secant line
acceleration
y-axis
20. 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
differentiation
middle sum
tangent line
average rate of change
21. A function has a relative maximum if the derivative changes signs from positive to zero to negative
inflection point
concave down
decreasing on an interval
relative maximum
22. A function that is continuous on both the left and right side at that point
continuity at a point
second derivative test
domain
continuous function
23. A point where a function changes concavity; also - where the second derivative changes signs
tangent function
circle
inflection point
amplitude
24. In integrating composite function - either using pattern recognition or change of variables to perform the integration
normal line
constant function
integration by substitution
antiderivative
25. A function that can be expressed in the form f(x)=mx+b
linear function
slope
left-hand sum
cotangent function
26. 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
normal line
constant function
absolute minimum
root of an equation
27. A function such that the following is true
y-intercept
secant line
continuous function
increasing on an interval
28. The number which - when raised to the power of a given logarithm - produces a given number
velocity
integrand
base (exponential and logarithmic)
extrenum
29. The x-coordinate of the point where a curve intersects the x-axis
x-intercept
exponential function
solid of revolution
coefficient
30. The solid figure generated by revolving a plane region around a line
indefinite integral
solid of revolution
separable differential equation
antidifferentiation
31. For all x in [a -b] - f'(x)>0
dy/dx (Leibniz notation)
relative minimum
local extrema
increasing on an interval
32. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
domain
constant of integration
sine function
rate of change
33. A method of obtaining the derivative of a composite function
chain rule
second derivative test
linear approximation
increasing on an interval
34. Any ordered pair (x -y) where f'(x)=0 or is undefined
inflection point
concave down
critical point
constant function
35. 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
speed
integration
axis of rotation
36. 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
secant function
first derivative test
prime notation
solid of revolution
37. The horizontal axis of the Cartesian coordinate system
indefinite integral
zero of a function
arcsine function
x-axis
38. Having a decreasing derivative as the independent variable increases; having a negative second derivative
concave down
linear approximation
amplitude
integration by substitution
39. In periodic functions - the height of the function at the maximum to the middle line
concave up
domain
constant function
amplitude
40. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
region (in a plane)
domain
indefinite integral
limit
41. A function f that gives the position f(t) of a body on a coordinate axis at time t
product rule
position function
antidifferentiation
acceleration
42. A line through two points on the curve
secant line
linear function
inflection point
linear approximation
43. A number which serves as an estimate of a desired number
coefficient
antiderivative
approximation
root of an equation
44. A function has a relative minimum if the derivative changes signs from negative to zero to positive
relative minimum
left-hand sum
integration
x-axis
45. If a function has a well-defined derivative for each element of the domain
differentiability
linear approximation
integration by substitution
middle sum
46. 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
concave down
x-intercept
tangent function
discontinuity
47. The rate of change of the velocity with respect to time. the second derivative of a position function
acceleration
cosine function
arcsine function
sine function
48. 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
left-hand sum
related rates
relative minimum
approximation
49. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
linear approximation
tangent line
velocity
middle sum
50. The function y=lnx is the inverse of the exponential function y=e^x
arccosine function
local linearization
natural logarithm
second derivative test