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