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