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AP Calc AB Review Flashcards | StudBud
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AP Calc AB Review
AP Calc AB Review
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#abcalculus
Flashcards
24 cards
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Answers
1
Which of the following theorems establishes the EXISTENCE of values?
Intermediate Value Theorem
Fundamental Theorem of Calculus
Average Value
Mean Value Theorem
2
Right Riemann sum is an overestimate when f(x) is
Increasing
Concave Up
Concave Down
Decreasing
3
Linearization will be an UNDERESTIMATE when f(x) is
Positive
Increasing
Concave up
Concave down
4
The Fundamental Theorem of Calculus (FTC) deals with integrals and anti-derivatives.
False
True
5
The slope of the tangent lines along a curve is also known as?
Average rate of change
The limit
The derivative
Concavity
6
Speed is expressed as
The opposite of v(t)
Absolute Value of v(t)
When a(t) and v(t) have the same sign
v(t)
7
Increasing/Decreasing of a function is determined by
Second Derivative Test
Limits of f(x) values
Mins and Maxs
First Derivative Test
8
How many relative extrema?
3
4
2
1
9
This limit exists
False
True
10
How do you know a particle is speeding up or slowing down?
Velocity's sign
Acceleration's sign
Velocity's and acceleration's signs
Critically thinking with the information is the problem
11
Proving continuity requires ALL BUT the following
It is differentiable
Proving the value exists on the function
Proving the limit exists
Limit and Value are equivalent
12
Evaluate.
-1/4
-ln 4
ln 4
1/4
13
What is the slope of the secant line known as?
Derivative
The tangent line
Instantaneous rate of change
Average rate of change
14
When f '(x) changes from ________ to _________ you have a relative max on f(x)
Negative, Positive
Increasing, Decreasing
Decreasing, Increasing
Positive, Negative
15
Find f '(ln 5).
25
10
50
DNE
16
Total distance
and
displacement
of a function are EQUIVALENT when -
They are always equal
f(x) is concave up
They're never equal
f(x) is above the x-axis
17
The integral is an accumulation function.
True
False
18
Find this anti-derivative.
2x - 5 + C
1/2x2 - 5x + C
1/3x3 - 5/2x2 + 6x + C
1/3x3 - 5/2x2 + 6x
19
What is the
FIRST
and crucial step to solving a differential equation?
Separate the variables
Use the initial condition
Add a C
Find the anti-derivative
20
Evaluate.
(xy)dy/dx
y + x(dy/dx)
(y)dy/dx
x + y(dy/dx)
21
Find this derivative.
7 + C
35x4 - (1/2)x(-1/2)
7x4 - x(-1/2)
0
22
Find the derivative of the function below.
18x3 - 9x
6x2 - 9
18x2 - 9
18x2 - 9 + C
23
When given v(t) and asked to find the derivative, you're looking for
Position s(t)
The slope of the tangent line of s(t)
Acceleration a(t)
v(t) at a certain point
24
Evaluate
-4/5
-∞
0
5/2
