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Duplicate of AP Calc AB Review Flashcards | StudBud
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Duplicate of AP Calc AB Review
Duplicate of AP Calc AB Review
20 terms
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#abcalculus
Flashcards
20 cards
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Questions
20
Answers
1
Evaluate.
dy/dx
y + x(dy/dx)
(xy)dy/dx
x + y(dy/dx)
2
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)
3
The slope of the tangent lines along a curve is also known as?
Average rate of change
Concavity
The limit
The derivative
4
Speed is expressed as
v(t)
The opposite of v(t)
Absolute Value of v(t)
When a(t) and v(t) have the same sign
5
The fundamental theorem of calculus (FTC) deals with integrals and anti-derivatives.
False
True
6
Right Reimann sum is an overestimate when f(x) is
Increasing
Decreasing
Concave Up
Concave Down
7
Find the derivative of the function below.
18x^2 - 9
18x^2 - 9 + C
6x^2 - 9
18x^3 - 9x
8
Linearization will be an UNDERESTIMATE when f(x) is
Concave up
Positve
Increasing
Concave Down
9
Increasing/Decreasing of an f(x) is determined by
Mins and Maxs
Limits of f(x) values
Second Derivative Test
First Derivative Test
10
Proving continuity requires ALL BUT the following
Limit and Value are equivalent
Proving the value exists on the function
Proving the limit exists
It is differentiable
11
Find this derivative.
7x4 - x(-1/2)
0
7 + C
35x4 - (1/2)x(-1/2)
12
Find this anti-derivative.
1/3x3 - 5/2x2 + 6x + C
2x - 5 + C
1/2x2 - 5x + C
1/3x3 - 5/2x2 + 6x
13
What is the slope of the secant line known as?
Derivative
Instantaneous rate of change
Average rate of change
The tangent line
14
When f'(x) changes from ________ to _________ you have a relative max on f(x)
Positive, Negative
Decreasing, Increasing
Negative, Positive
Increasing, Decreasing
15
This limit exists
True
False
16
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
17
The integral is an accumulation function.
False
True
18
Total distance
and
displacement
of a function are EQUIVALENT when -
They are always equal
They're never equal
f(x) is concave up
f(x) is above the x axis
19
Which of the following theorems establishes the EXISTENCE of values?
Average Value
Intermediate Value
Fundamental Theorem
Mean Value
20
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
