SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
Search
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. A basic definition in calculus f(x+h)-f(x)/h h doesn't equal 0
cosecant function
difference quotient
exponential function
differentiation
2. A procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
implicit differentiation
differentiation
second derivative test
related rates
3. If f'(c) = 0 and f''(c) > 0 then minimum; if f'(c) = 0 and f''(c) < 0 then maximum
amplitude
second derivative test
Fundamental theorem of calculus
Radian
4. Any number that can be written in the form a + bi - where a and b are real numbers and i is the imaginary unit
decay model
critical value
absolute minimum
complex number
5. An integral without any specific limits - whose solution includes an undetermined constant c; antiderivative
infinite limit
related rates
continuity on an interval
indefinite integral
6. If a function is on the closed interval [a - b] and F is an antiderivative (?) of f on [a -b] then ?f(x) dx from a to b is F(b) - F(a)
logarithm laws
natural logarithm
Fundamental theorem of calculus
rational function
7. A method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.
integration by substitution
removable discontinuity
integrable function
first derivative test
8. Dividing an interval into n sub-intervals
partition of an interval
removable discontinuity
critical point
parameter
9. 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
complex number
limit of integration
differentiability
root of an equation
10. logb mn = logbm + logb n - logb m/n = logb m - logb n - logb mn = n logb m - logb b = 1 - logb 1 = 0
rational function
complex number
logarithm laws
derivative
11. Either of the endpoints of an interval over which a definite integral is to be evaluated
instantaneous velocity
constant function
power series
limit of integration
12. 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
second derivative test
right hand sum
law of sines
difference quotient
13. Curve whose points are at a fixed normal distance of a given curve
removable discontinuity
Intermediate value theorem
root of an equation
parallel curve
14. Limit of an average velocity - as the time interval gets smaller and smaller. Let s (t) be the position of an object at time t. The instantaneous velocity at t = a is defined as lim(h goes to 0) [s(a+h)-s(a)] / h
instantaneous velocity
right hand limit
differential equation
Mean Value theorem for derivatives
15. A line that divides a figure in half so that each half is the mirror image of the other.
piecewise defined function
constant function
order of a derivative
axis of symmetry
16. Having the limits or boundaries established
mean value theorem for definite integrals
bounded
distance formula
removable discontinuity
17. 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)
absolute minimum
inflection point
bounded above
Mean Value theorem for derivatives
18. The value of the function at a critical point
critical value
law of sines
left hand sum
Radian
19. Any value in the domain where either the function is not differentiable or its derivative is 0.
left hand sum
leibniz notation
cross sectional area
critical point
20. Intervals on which the second derivative is negative
axis of symmetry
concave down
difference quotient
linear approximation
21. A function that possesses a finite integral; the function must be continuous on the interval of integration
extreme value theorem
integrable function
leibniz notation
concave down
22. Amount of change / time it takes (amount of change/ length of interval)
average rate of change
order of a derivative
numerical derivative
parameter
23. If f(x) is continuous over [a -b] - then it has an absolute maximum and minimum value on [a -b].
extreme value theorem
root of an equation
differential equation
absolute minimum
24. A function whose rule is given by a fraction whose numerator and denominator are polynomials and whose denominator is not 0
rational function
exponential function
non removable discontinuity
critical point
25. A function that is a fixed numerical value for all elements of the domain of the function
critical point
integrand
constant function
conic section
26. ex) dx - dy etc
even function
implicit differentiation
differential
absolute minimum
27. 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
differentiability
endpoint extremum
trapezoidal rule
instantaneous rate of change
28. If there is some number B that is greater than or equal to every number in the range of f
position function
second derivative test
bounded above
removable discontinuity
29. Graph is symmetrical with respect to the y-axis; f(x) = f(-x)
differentiation
even function
absolute value
Algebraic function
30. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point - L(x) = f(a) + f'(a)(x - a)
bounded below
extreme value theorem
first derivative test
linear approximation
31. 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.
leibniz notation
order of a derivative
inflection point
non removable discontinuity
32. A limit in which f(x) increases or decreases without bound - as x approaches c
perpendicular curves
circular function
complex number
infinite limit
33. 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
related rates
circular function
decay model
natural logarithm
34. A determining or characteristic element; a factor that shapes the total outcome; a limit - boundary
differential
parameter
concave up
left hand limit
35. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minimum of the function. If the first derivative changes from positive to zero of negative - then that critical val
first derivative test
parameter
optimization
differential equation
36. Input of function
domain
differential equation
differential
differentiability
37. A logarithm with the base e - written as ln
piecewise defined function
normal line
differentiation
natural logarithm
38. A point where a function changes concavity; also - where the second derivative changes signs
inflection point
cosecant function
absolute minimum
order of a derivative
39. Decay: y=ab^x where a >0 and 0<b<1 - Growth: y=ab^x where a>0 and b>1
dummy variable of integration
numerical derivative
exponential growth and decay
bounded below
40. The smallest y-value of the function
absolute minimum
numerical derivative
endpoint extremum
average rate of change
41. Functions of angles
even function
absolute maximum
circular function
extremum
42. An approximation of the derivative of a function using a numerical algorithm numerical integration - an approximation of the integral of a function using a numerical algorithm oddfunction- f(-x)=-f(x)
numerical derivative
first derivative test
absolute value
logarithmic function
43. d = v[( x2 - x1)² + (y2 - y1)²]
instantaneous velocity
distance formula
transcendental function
constant function
44. dy/dx
leibniz notation
endpoint extremum
dummy variable of integration
removable discontinuity
45. Let f(x) be a function continuous on the closed interval [a -b]. If N is any real number between f(a) and f(b) - then there is at least one real number c between a and b such that f(c)=N
Fundamental theorem of calculus
left hand sum
Intermediate value theorem
removable discontinuity
46. A point that represents the maximum value a function assumes over its domain
acceleration
decay model
absolute maximum
Fundamental theorem of calculus
47. N(1-r)^x
decay model
extreme value theorem
concave up
continuity on an interval
48. sinA/a=sinB/b=sinC/c
related rates
limit at infinity
law of sines
partition of an interval
49. A surface or shape exposed by making a straight cut through something at right angles to the axis.
derivative
instantaneous rate of change
cross sectional area
left hand sum
50. Two curves that have perpendicular tangents at the point of tangency
trapezoidal rule
position function
perpendicular curves
differentiability