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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. 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
separable differential equation
continuity on an interval
first derivative test
extrenum
2. The smallest value of a function for each value of the domain
minimum
piecewise-defined function
local linearization
origin
3. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
local linearization
local extrema
closed interval [a -b]
definite integral
4. A=x=b
linear approximation
definite integral
closed interval [a -b]
root of an equation
5. The process of finding the derivative of a function
differentiability
critical value
second derivative
differentiation
6. In periodic functions - the height of the function at the maximum to the middle line
middle sum
domain
closed interval [a -b]
amplitude
7. 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.
x-intercept
limit
second derivative test
right-hand limit
8. If a function has a well-defined derivative for each element of the domain
local linearization
radius of a circle
zero of a function
differentiability
9. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
instantaneous velocity
odd function
critical point
integrable function
10. The amount of change divided by the time it takes
x-axis
integration
related rates
rate of change
11. A number which serves as an estimate of a desired number
local linearization
approximation
root of an equation
axis of symmetry
12. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
definite integral
continuity on an interval
closed interval [a -b]
odd function
13. 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
left-hand sum
continuity on an interval
x-axis
axis of symmetry
14. The differentiation of an implicit function with respect to the independent variable
implicit differentiation
related rates
decreasing on an interval
limit of integration
15. The function that is integrated in an integral
critical value
normal line
amplitude
integrand
16. The absolute value or magnitude of velocity
maximum
y-axis
speed
origin
17. The reciprocal of the tangent function
solid of revolution
arcsine function
related rates
cotangent function
18. The ratio x/r with r being the distance of (x -y) from the origin
cosine function
implicit differentiation
chain rule
constant function
19. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
critical value
local linearization
region (in a plane)
optimization
20. A function that is continuous at every point on the interval
continuity on an interval
root of an equation
maximum
instantaneous rate of change
21. The reciprocal of the sine function
secant line
zero of a function
cosecant function
root of an equation
22. The process of evaluating an indefinite integral
constant function
acceleration
antidifferentiation
extrenum
23. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
tangent function
dy/dx (Leibniz notation)
maximum
24. The y-coordinate of a point where a curve intersects the y-axis
velocity
discontinuity
integrable function
y-intercept
25. Any ordered pair (x -y) where f'(x)=0 or is undefined
first derivative test
critical point
closed interval [a -b]
linear function
26. 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
right-hand sum
separable differential equation
linear approximation
maximum
27. The derivative of the first derivative
middle sum
second derivative
tangent function
optimization
28. The number which - when raised to the power of a given logarithm - produces a given number
radius of a circle
arctangent function
base (exponential and logarithmic)
dy/dx (Leibniz notation)
29. Notation used for the first derivative of a function
dy/dx (Leibniz notation)
right-hand sum
second derivative test
secant line
30. The inverse of the sine function
y-axis
arcsine function
velocity
sine function
31. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
trapezoidal rule
critical value
sine function
integrable function
32. The solid figure generated by revolving a plane region around a line
arcsine function
differentiation
solid of revolution
instantaneous rate of change
33. 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
root of an equation
absolute minimum
circle
slope
34. f(-x)= -f(x)
exponential function
piecewise-defined function
approximation
odd function
35. The highest value of a function for each value of the domain
maximum
arcsine function
first derivative test
origin
36. The horizontal axis of the Cartesian coordinate system
concave down
base (exponential and logarithmic)
x-axis
domain
37. In an application - maximizing or minimizing some aspect of the system being modeled
critical point
critical value
tangent line
optimization
38. A function that can be expressed in the form f(x)=mx+b
increasing on an interval
tangent line
linear function
integrand
39. The rate of change of position with respect to time
integrand
y-intercept
velocity
dy/dx (Leibniz notation)
40. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
product rule
concave down
linear approximation
exponential function
41. Having a decreasing derivative as the independent variable increases; having a negative second derivative
concave down
y-intercept
instantaneous velocity
absolute maximum
42. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
product rule
cross-sectional area
inflection point
zero of a function
43. 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
separable differential equation
base (exponential and logarithmic)
coefficient
solid of revolution
44. A function that is defined by applying different formulas to different parts of its domain
second derivative test
piecewise-defined function
differentiability
continuity at a point
45. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
absolute maximum
region (in a plane)
secant line
x-axis
46. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
absolute minimum
limit
natural logarithm
antiderivative
47. The function y=lnx is the inverse of the exponential function y=e^x
limit
secant line
concave down
natural logarithm
48. The reciprocal of the cosine function
linear function
relative minimum
x-axis
secant function
49. A line around which a geometric figure is symmetrical
cross-sectional area
arctangent function
local linearization
axis of symmetry
50. The inverse of the tangent function
root of an equation
secant function
arctangent function
continuous function