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