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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. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)
differentiability
arccosine function
integrand
product rule
2. The inverse of the tangent function
constant of integration
trapezoidal rule
arctangent function
increasing on an interval
3. The smallest value of a function for each value of the domain
prime notation
minimum
integrable function
cosecant function
4. A function that is continuous at every point on the interval
continuity on an interval
integrand
slope
position function
5. The amount of change divided by the time it takes
secant line
instantaneous velocity
rate of change
definite integral
6. A number which serves as an estimate of a desired number
acceleration
approximation
local extrema
antiderivative
7. 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
critical point
first derivative test
absolute maximum
instantaneous rate of change
8. 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
optimization
root of an equation
chain rule
x-axis
9. A function has a relative minimum if the derivative changes signs from negative to zero to positive
relative minimum
related rates
arccosine function
differentiation
10. 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 of integration
left-hand sum
tangent line
differentiability
11. For all x in [a -b] - f'(x)>0
amplitude
position function
differentiability
increasing on an interval
12. In an application - maximizing or minimizing some aspect of the system being modeled
second derivative
integrand
optimization
separable differential equation
13. A=x=b
local extrema
position function
closed interval [a -b]
instantaneous rate of change
14. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point
absolute maximum
right-hand sum
related rates
local linearization
15. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points
integrable function
region (in a plane)
integrand
cosecant function
16. In periodic functions - the height of the function at the maximum to the middle line
amplitude
continuity on an interval
prime notation
sine function
17. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure
continuous function
related rates
cross-sectional area
approximation
18. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse
sine function
linear approximation
arcsine function
piecewise-defined function
19. 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.
natural logarithm
right-hand sum
trapezoidal rule
axis of symmetry
20. The derivative of the first derivative
local extrema
second derivative
coefficient
speed
21. 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
position function
circle
discontinuity
dy/dx (Leibniz notation)
22. The vertical axis of the Cartesian coordinate system
prime notation
y-intercept
y-axis
differentiation
23. The number which - when raised to the power of a given logarithm - produces a given number
left-hand sum
base (exponential and logarithmic)
second derivative
integrand
24. 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
local linearization
instantaneous rate of change
decreasing on an interval
25. The differentiation of an implicit function with respect to the independent variable
y-intercept
definite integral
implicit differentiation
x-axis
26. A function such that the following is true
linear function
differentiation
solid of revolution
continuous function
27. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function
local extrema
instantaneous velocity
integration by substitution
trapezoidal rule
28. Any ordered pair (x -y) where f'(x)=0 or is undefined
closed interval [a -b]
arcsine function
critical point
discontinuity
29. The process by which an antiderivative is calculated
integrand
acceleration
radius of a circle
integration
30. The reciprocal of the sine function
implicit differentiation
cotangent function
cosecant function
normal line
31. The horizontal axis of the Cartesian coordinate system
arccosine function
local linearization
y-intercept
x-axis
32. The function that is integrated in an integral
rate of change
integrand
x-axis
constant function
33. The rate of change of position with respect to time
cotangent function
normal line
velocity
speed
34. In integrating composite function - either using pattern recognition or change of variables to perform the integration
axis of symmetry
increasing on an interval
relative minimum
integration by substitution
35. Local maximums of minimums of a function
piecewise-defined function
discontinuity
local extrema
continuity at a point
36. A segment from the center of the circle to a point on the circle
related rates
region (in a plane)
radius of a circle
y-intercept
37. The point (0 -0) in the Cartesian coordinate plane
origin
radius of a circle
arctangent function
linear approximation
38. Any x values where f'(x)=0 or is undefined
definite integral
relative minimum
second derivative test
critical value
39. The inverse of the cosine function
local linearization
slope
arccosine function
critical value
40. Either of the endpoints of an interval over which a definite integral is to be evaluated
maximum
first derivative test
tangent line
limit of integration
41. An indefinite integral. an arbitrary constant '+c' is included
related rates
chain rule
left-hand sum
antiderivative
42. 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.
left-hand sum
second derivative test
coefficient
cross-sectional area
43. The x-coordinate of the point where a curve intersects the x-axis
cross-sectional area
linear function
x-intercept
continuity at a point
44. The reciprocal of the cosine function
maximum
region (in a plane)
absolute minimum
secant function
45. A method of obtaining the derivative of a composite function
cosine function
continuity on an interval
right-hand limit
chain rule
46. 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
optimization
zero of a function
radius of a circle
slope
47. 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
secant line
differentiation
limit of integration
48. The set of points in a plane that are equidistant from a given point
circle
decreasing on an interval
axis of symmetry
related rates
49. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x
integration by substitution
prime notation
sine function
right-hand limit
50. The set of all values that can be assumed by the independent variable of a function
domain
secant function
dy/dx (Leibniz notation)
y-intercept