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