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