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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
20 cards
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Questions
20
Answers
1
When f'(x) changes from ________ to _________ you have a relative max on f(x)
Negative, Positive
Positive, Negative
Decreasing, Increasing
Increasing, Decreasing
2
What is the same as the derivative of F(x)? F'(x)
F(x)
f''(x)
f'(x)
f(x)
3
The integral is an accumulation function.
False
True
4
Speed is expressed as
When a(t) and v(t) have the same sign
The opposite of v(t)
v(t)
Absolute Value of v(t)
5
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
6
Find this anti-derivative.
2x - 5 + C
1/3x^3 - 5/2x^2 + 6x
1/2x^2 - 5x + C
1/3x^3 - 5/2x^2 + 6x + C
7
When given v(t) and asked to find the derivative, you're looking for
Acceleration a(t)
v(t) at a certain point
The slope of the tangent line of s(t)
Position s(t)
8
The slope of the tangent lines along a curve is also known as?
Average rate of change
Concavity
The limit
The derivative
9
Right Reimann sum is an overestimate when f(x) is
Concave Up
Decreasing
Increasing
Concave Down
10
Find this derivative.
35x^4 - (1/2)x^(-1/2)
0
7 + C
7x^4 - x^(-1/2)
11
The fundamental theorem of calculus (FTC) deals with integrals and anti-derivatives.
False
True
12
What is the
FIRST
and crucial step to solving a differential equation?
Separate the variables
Find the anti-derivative
Use the initial condition
Add a C
13
Which of the following theorems establishes the EXISTENCE of values?
Average Value
Mean Value
Intermediate Value
Fundamental Theorem
14
Find the derivative of the function below.
18x^2 - 9 + C
18x^2 - 9
18x^3 - 9x
6x^2 - 9
15
Increasing/Decreasing of an f(x) is determined by
First Derivative Test
Second Derivative Test
Mins and Maxs
Limits of f(x) values
16
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
17
Linearization will be an UNDERESTIMATE when f(x) is
Increasing
Concave up
Concave Down
Positve
18
What is the slope of the secant line known as?
The tangent line
Derivative
Average rate of change
Instantaneous rate of change
19
How do you know a particle is speeding up or slowing down?
Acceleration's sign
Critically thinking with the information is the problem
Velocity's sign
Velocity and acceleration's signs
20
This limit exists
True
False
