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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. 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
region (in a plane)
rate of change
discontinuity
axis of rotation
2. The vertical axis of the Cartesian coordinate system
base (exponential and logarithmic)
optimization
y-axis
instantaneous rate of change
3. Having an increasing derivative as the independent variable increases - having a positive second derivative
optimization
concave up
minimum
root of an equation
4. 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.
second derivative test
local extrema
concave up
y-intercept
5. In an application - maximizing or minimizing some aspect of the system being modeled
chain rule
rate of change
concave down
optimization
6. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation
limit of integration
instantaneous rate of change
zero of a function
local extrema
7. The inverse of the sine function
average rate of change
position function
arcsine function
speed
8. The local and global maximums and minumums of a function
relative maximum
integrable function
extrenum
concave up
9. Any function closely related to the exponential function - and in particular y=a^x - for any a
axis of symmetry
exponential function
antiderivative
rate of change
10. The point (0 -0) in the Cartesian coordinate plane
cosecant function
origin
radius of a circle
axis of rotation
11. A line through two points on the curve
amplitude
maximum
closed interval [a -b]
secant line
12. Any ordered pair (x -y) where f'(x)=0 or is undefined
chain rule
tangent line
indefinite integral
critical point
13. 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
velocity
definite integral
limit
first derivative test
14. 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.
limit of integration
amplitude
trapezoidal rule
absolute minimum
15. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
prime notation
slope
axis of symmetry
acceleration
16. An arbitrary constant term in the expression of the indefinite integral of a function
constant of integration
dy/dx (Leibniz notation)
continuity on an interval
amplitude
17. The ratio x/r with r being the distance of (x -y) from the origin
antiderivative
absolute minimum
local extrema
cosine function
18. 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
tangent function
chain rule
related rates
integrand
19. A function that is continuous on both the left and right side at that point
absolute minimum
continuity at a point
tangent function
middle sum
20. 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
secant line
root of an equation
local extrema
cotangent function
21. A function such that the following is true
integrand
continuous function
average rate of change
approximation
22. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration
definite integral
left-hand sum
local linearization
integrable function
23. The horizontal axis of the Cartesian coordinate system
x-axis
relative maximum
integration by substitution
domain
24. The process by which an antiderivative is calculated
local linearization
integration
differentiability
product rule
25. The smallest y-value that a function achieves. occurs either at a local maximum or an endpoint
continuous function
continuity at a point
differentiation
absolute minimum
26. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
implicit differentiation
amplitude
local linearization
solid of revolution
27. Local maximums of minimums of a function
x-axis
arcsine function
root of an equation
local extrema
28. The inverse of the cosine function
axis of rotation
base (exponential and logarithmic)
arccosine function
continuity on an interval
29. The differentiation of an implicit function with respect to the independent variable
amplitude
tangent function
implicit differentiation
x-intercept
30. A function that is defined by applying different formulas to different parts of its domain
velocity
solid of revolution
domain
piecewise-defined function
31. For all x in [a -b] - f'(x)>0
increasing on an interval
secant line
limit
secant function
32. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
product rule
acceleration
amplitude
absolute minimum
33. A segment from the center of the circle to a point on the circle
relative maximum
average rate of change
antidifferentiation
radius of a circle
34. The rate of change of the velocity with respect to time. the second derivative of a position function
y-axis
acceleration
axis of symmetry
cotangent function
35. A method of obtaining the derivative of a composite function
piecewise-defined function
chain rule
position function
x-axis
36. The reciprocal of the sine function
cosecant function
velocity
acceleration
integrand
37. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint
differentiability
absolute maximum
tangent function
second derivative
38. The process of finding the derivative of a function
linear approximation
amplitude
differentiation
y-intercept
39. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
separable differential equation
antiderivative
linear approximation
limit of integration
40. f(-x)= -f(x)
coefficient
integration by substitution
odd function
prime notation
41. The inverse of the tangent function
antiderivative
arctangent function
continuity at a point
decreasing on an interval
42. The smallest value of a function for each value of the domain
prime notation
x-axis
axis of rotation
minimum
43. A=x=b
antiderivative
speed
dy/dx (Leibniz notation)
closed interval [a -b]
44. Any x values where f'(x)=0 or is undefined
critical value
cosecant function
indefinite integral
continuity on an interval
45. 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
constant of integration
left-hand sum
absolute minimum
x-intercept
46. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree
tangent function
trapezoidal rule
limit
cosine function
47. The y-coordinate of a point where a curve intersects the y-axis
prime notation
arctangent function
y-intercept
coefficient
48. A function f that gives the position f(t) of a body on a coordinate axis at time t
position function
arctangent function
implicit differentiation
root of an equation
49. The steepness of a line; the ratio of the rise of a line divided by the run of a line between any two points; the tangent of the angle between the direction of a line and the x-axis
slope
root of an equation
first derivative test
indefinite integral
50. 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)
velocity
continuity at a point
critical value