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