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AP Calc AB Review 1 Flashcards | StudBud
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AP Calc AB Review 1
AP Calc AB Review 1
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#abcalculus #abcalculus #alanna #minnetonka
Flashcards
18 cards
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Questions
18
Answers
1
Which of the following theorems establishes the EXISTENCE of values?
Intermediate Value
Average Value
Mean Value
Fundamental Theorem
2
This limit exists
False
True
3
Right Reimann sum is an overestimate when f(x) is
Decreasing
Increasing
Concave Down
Concave Up
4
Proving continuity requires ALL BUT the following
Proving the value exists on the function
Limit and Value are equivalent
It is differentiable
Proving the limit exists
5
The fundamental theorem of calculus (FTC) deals with integrals and anti-derivatives.
True
False
6
What is the
FIRST
and crucial step to solving a differential equation?
Find the anti-derivative
Add a C
Use the initial condition
Separate the variables
7
When f'(x) changes from ________ to _________ you have a relative max on f(x)
Positive, Negative
Decreasing, Increasing
Negative, Positive
Increasing, Decreasing
8
What is the slope of the secant line known as?
The tangent line
Derivative
Instantaneous rate of change
Average rate of change
9
Linearization will be an UNDERESTIMATE when f(x) is
Increasing
Concave Down
Concave up
Positve
10
Find this derivative.
7x^4 - x^(-1/2)
35x^4 - (1/2)x^(-1/2)
0
7 + C
11
Find the derivative of the function below.
6x^2 - 9
18x^2 - 9
18x^2 - 9 + C
18x^3 - 9x
12
How do you know a particle is speeding up or slowing down?
Velocity and acceleration's signs
Critically thinking with the information is the problem
Acceleration's sign
Velocity's sign
13
Increasing/Decreasing of an f(x) is determined by
Second Derivative Test
Mins and Maxs
First Derivative Test
Limits of f(x) values
14
Find this anti-derivative.
1/3x^3 - 5/2x^2 + 6x
2x - 5 + C
1/2x^2 - 5x + C
1/3x^3 - 5/2x^2 + 6x + C
15
The integral is an accumulation function.
True
False
16
Speed is expressed as
v(t)
When a(t) and v(t) have the same sign
The opposite of v(t)
Absolute Value of v(t)
17
When given v(t) and asked to find the derivative, you're looking for
Position s(t)
v(t) at a certain point
The slope of the tangent line of s(t)
Acceleration a(t)
18
The slope of the tangent lines along a curve is also known as?
The derivative
Average rate of change
Concavity
The limit
