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AP Calc AB Review Quiz (for new BC students) Flashcards | StudBud
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AP Calc AB Review Quiz (for new BC students)
AP Calc AB Review Quiz (for new BC students)
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Review of #abcalculus for #bccalculus students
Flashcards
15 cards
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Practice quiz
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Questions
15
Answers
1
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)
2
Find this anti-derivative.
2x - 5 + C
1/2x^2 - 5x + C
1/3x^3 - 5/2x^2 + 6x + C
1/3x^3 - 5/2x^2 + 6x
3
Find the derivative of the function below.
18x^3 - 9x
18x^2 - 9
18x^2 - 9 + C
6x^2 - 9
4
The slope of the tangent lines along a curve is also known as?
Average rate of change
The derivative
Concavity
The limit
5
Right Reimann sum is an overestimate when f(x) is
Concave Up
Increasing
Decreasing
Concave Down
6
When f'(x) changes from ________ to _________ you have a relative max on f(x)
Decreasing, Increasing
Negative, Positive
Increasing, Decreasing
Positive, Negative
7
Which of the following theorems establishes the EXISTENCE of values?
Average Value
Intermediate Value
Mean Value
Fundamental Theorem
8
The integral is an accumulation function.
False
True
9
What is the
FIRST
and crucial step to solving a differential equation?
Find the anti-derivative
Use the initial condition
Add a C
Separate the variables
10
This limit exists
False
True
11
Find this derivative.
0
7x^4 - x^(-1/2)
7 + C
35x^4 - (1/2)x^(-1/2)
12
What is the slope of the secant line known as?
Average rate of change
Derivative
Instantaneous rate of change
The tangent line
13
The fundamental theorem of calculus (FTC) deals with integrals and anti-derivatives.
False
True
14
Increasing/Decreasing of an f(x) is determined by
First Derivative Test
Second Derivative Test
Mins and Maxs
Limits of f(x) values
15
Proving continuity requires ALL BUT the following
Proving the value exists on the function
Proving the limit exists
Limit and Value are equivalent
It is differentiable
