stud
bud
Sign up
Log in
Home
Library
Explore
SAT
More
AP Calculus AB Review 1 - No Calculator Flashcards | StudBud
Explore
/
AP Calculus AB Review 1 - No Calculator
AP Calculus AB Review 1 - No Calculator
20 terms
·
StudBud Administration
·
37 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
Limit and Value are equivalent
It is differentiable
Proving the value exists on the function
Proving the limit exists
2
A right Reimann sum (RRAM) is an overestimate when f(x) is
Concave Up
Concave Down
Increasing
Decreasing
3
Find this derivative.
0
7 + C
35x^4 - (1/2)x^(-1/2)
7x^4 - x^(-1/2)
4
Which of the following theorems establishes the EXISTENCE of values?
Fundamental Theorem
Mean Value
Intermediate Value
Average Value
5
The slope of the tangent lines along a curve is also known as?
Average rate of change
The derivative
Concavity
The limit
6
When given v(t) and asked to find the derivative, you're looking for
v(t) at a certain point
The slope of the tangent line of s(t)
Acceleration a(t)
Position s(t)
7
What is the slope of the secant line known as?
Derivative
The tangent line
Average rate of change
Instantaneous rate of change
8
This limit exists
False
True
9
What is the
FIRST
and crucial step to solving a differential equation?
Separate the variables
Add a C
Use the initial condition
Find the anti-derivative
10
Find the derivative of the function below.
18x^2 - 9
18x^2 - 9 + C
18x^3 - 9x
6x^2 - 9
11
Total distance
and
displacement
of a function are EQUIVALENT when -
f(x) is above the x axis
They're never equal
They are always equal
f(x) is concave up
12
Find the derivative of (sinx)^3.
3(sinx)^2(cosx)
3(sinx)^2
-3(sinx)^2(cosx)
3cosx
13
Given a position function s(t), acceleration is equivalent to:
s"(t)
The integral of s(t)
s'(t)
s(t)
14
The integral is an accumulation function.
True
False
15
Speed is expressed as
Absolute Value of v(t)
v(t)
The opposite of v(t)
When a(t) and v(t) have the same sign
16
When f'(x) changes from ________ to _________ you have a relative max on f(x)
Negative, Positive
Decreasing, Increasing
Positive, Negative
Increasing, Decreasing
17
Increasing/Decreasing of a function f(x) is determined by
Second Derivative Test
Min's and Max's
Limits of f(x) values
First Derivative Test
18
How do you know a particle is speeding up or slowing down?
Velocity and acceleration's signs
Critically thinking with the information is the problem
Acceleration's sign
Velocity's sign
19
The Fundamental Theorem of Calculus (FTC) deals with integrals and anti-derivatives.
True
False
20
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
