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