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Test your basic knowledge |
AP Calculus Ab
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 mathematical process of obtaining the derivative of a function
parameter
continuous function
asymptote
differentiation
2. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum
differential equation
second derivative test
Fundamental theorem of calculus
position function
3. A surface or shape exposed by making a straight cut through something at right angles to the axis.
optimization
difference quotient
axis of symmetry
cross sectional area
4. Intervals in which the second derivative is positive
integration by substitution
concave up
absolute minimum
continuity on an interval
5. The distance a number is from 0 on a number line
differential equation
inflection point
trapezoidal rule
absolute value
6. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative
extremum
indefinite integral
amplitude
law of sines
7. dy/dx
definite integral
order of a derivative
removable discontinuity
leibniz notation
8. A function F is called an __________ of a function f on a given open interval if F'(x) = f(x) for all x in the interval - Add + c at the end
normal line
parallel curve
antiderivative
limit at infinity
9. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit
power series
infinite limit
complex number
acceleration
10. The smallest y-value of the function
absolute minimum
derivative
instantaneous rate of change
differentiation
11. The value of the function at a critical point
critical point
critical value
axis of symmetry
piecewise defined function
12. Imaginary line drawn perpendicular to the surface of a mirror or any surface
end behavior
normal line
cross sectional area
law of sines
13. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)
end behavior
indefinite integral
initial condition
even function
14. A method of representing the location of a point using an ordered pair of real numbers of the form (x -y)
rational function
normal line
cartesian coordinate system
distance formula
15. Selection of a best element from some set of available alternatives.
end behavior
optimization
numerical derivative
decay model
16. 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 of an x-intercept of the graph
cross sectional area
root of an equation
asymptote
indefinite integral
17. The process of evaluating an indefinite integral
integrable function
logarithmic function
local linearity
Antidifferentiation- check
18. Graph is symmetrical with respect to the origin; f(-x)=-f(x)
endpoint extremum
odd function
dummy variable of integration
left hand sum
19. The limit of f as x approaches c from the right
Mean Value theorem for derivatives
right hand sum
continuity at a point
right hand limit
20. If y is a function of x - y' = dy is the first order - or first - derivative of y with dx respect to x
rational function
order of a derivative
difference quotient
limit at infinity
21. Series from n=0 to infinity of c_n(x-a)^n where a is it's center and c_n is a coefficient.
power series
continuous function
limit of integration
cross sectional area
22. An undetermined constant added to every result of integration (the added +c)
distance formula
constant of integration
local linearity
perpendicular curves
23. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
implicit differentiation
absolute minimum
circular function
left hand sum
24. A point of discontinuity that is not removeable - it represents a break in the graph of f where you cant redefine f to make the graph continuous.
non removable discontinuity
limit at infinity
integrand
linear approximation
25. If f is continuous at x = a and lim f'(x) (from the left) = lim f'(x) (from the right) - then f is differentiable at x = a
linear approximation
differentiation
differentiability
left hand limit
26. The inverse of an eponential function
continuity at a point
Fundamental theorem of calculus
logarithmic function
related rates
27. The mathematical formulation corresponding to a continuous time model; an equation involving derivatives
order of a derivative
concave down
differential equation
critical value
28. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0
distance formula
difference quotient
normal line
non removable discontinuity
29. A given value of x and f(x) used to find the constant of integration
linear approximation
derivative
initial condition
second derivative test
30. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
integration by substitution
derivative
bounded
parallel curve
31. N(1-r)^x
exponential function
axis of symmetry
decay model
natural logarithm
32. A point that represents the maximum value a function assumes over its domain
numerical derivative
local linearity
absolute maximum
parameter
33. If y=f(x) is continuous at every point of the close interval [a -b] and differentiable at every point of its interior (a -b) - then there is at least one point c in (a -b) at which f'(c)= [f(b)-f(a)]/(b-a)
right hand sum
definite integral
Mean Value theorem for derivatives
cartesian coordinate system
34. A function that is continuous at every point on the interval
continuity on an interval
left hand sum
extremum
concave down
35. A function that possesses a finite integral; the function must be continuous on the interval of integration
integrable function
absolute maximum
infinite limit
parameter
36. At c if lim f(x) as x approaches c exists but the limit is not equal to f(c)
law of cosine
removable discontinuity
Antidifferentiation- check
limit of integration
37. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0
differentiation
rational function
bounded
optimization
38. The behavior of the graph of a function as x approaches positive infinity or negative infinity
constant of integration
end behavior
left hand limit
average rate of change
39. A logarithm with the base e - written as ln
perpendicular curves
cartesian coordinate system
exponential growth and decay
natural logarithm
40. The value that a function is approaching as x approaches a given value through values less than x
left hand limit
bounded
end behavior
antiderivative
41. Has limits a & b - find antiderivative - F(b) - F(a) find area under the curve
definite integral
critical point
complex number
rational function
42. d = v[( x2 - x1)² + (y2 - y1)²]
distance formula
non removable discontinuity
bounded above
cartesian coordinate system
43. Function e^x - where e is the number (approximately 2.718281828) such that the function e^x is its own derivative.
inflection point
normal line
right hand sum
exponential function
44. Ratio between the length of an arc and its radius
bounded below
removable discontinuity
antiderivative
Radian
45. Any value in the domain where either the function is not differentiable or its derivative is 0.
antiderivative
related rates
critical point
Fundamental theorem of calculus
46. ex) dx - dy etc
differential
right hand sum
critical value
linear approximation
47. The maximum distance that the particles of a wave's medium vibrate from their rest position
amplitude
linear approximation
perpendicular curves
differentiation
48. Having the limits or boundaries established
bounded
extreme value theorem
right hand limit
piecewise defined function
49. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1
Mean Value theorem for derivatives
differentiation
dummy variable of integration
exponential growth and decay
50. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].
law of cosine
extreme value theorem
left hand limit
Antidifferentiation- check