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AP Calculus Review Flashcards | StudBud
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AP Calculus Review
AP Calculus Review
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#abcalculus #abcalculus #drwatts #werarab
Flashcards
27 cards
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Questions
27
Answers
1
Find the derivative of the function below.
18x^2 - 9
18x^3 - 9x
18x^2 - 9 + C
6x^2 - 9
2
Which is/was most exciting?
Dawson's hair
The Two-Minute Warning
Test day!
The graphic for Operation Overwhelming Force
3
How do you know a particle is speeding up?
v(t) > 0
v(t) and a(t) have the same sign.
v(t) and a(t) both positive
a(t) > 0
4
What is the
FIRST
and crucial step to solving a differential equation?
Add a C
Find the anti-derivative
Use the initial condition
Separate the variables
5
The Fundamental Theorem of Calculus (FTC) deals with integrals and anti-derivatives.
True
False
6
Increasing/Decreasing of a function f(x) is determined by
Second Derivative Test
Limits of f(x) values
The sign of f'(x)
First Derivative Test
7
Which of these is a true statement Mathematically?
Don't eat the yellow snow
Integrate a rate to get a total
Derive a rate to get a total
You can save 15% or more by switching to GEICO
8
What is the slope of the secant line known as?
The tangent line
Average rate of change
Derivative
Instantaneous rate of change
9
Total distance
and
displacement
of a function are EQUIVALENT when -
They're never equal
They are always equal
f(x) is concave up
f(x) is above the x axis
10
Which is most difficult to remember?
Trig Derivatives
Log Rules
Inverse Trig Derivatives
Trig Anti-Derivatives
11
If you integrate a derivative f
'
, the area represents:
DESK OF SHAME! DESK OF SHAME!
The accumulated change in f
The slope of f
Total Distance Traveled
12
Given a position function s(t), acceleration is equivalent to:
s"(t)
s'(t)
s(t)
The integral of s(t)
13
How can you tell a lesson is important?
Chloe doesn't like it
Jack says something questionable
KB is not here, he's away doing something HOSA-y.
Kate is really stressing
14
Which of the following theorems establishes the EXISTENCE of y-values?
Fundamental Theorem
Mean Value
Average Value
Intermediate Value
15
Find the derivative of (sinx)^3.
3(sinx)^2(cosx)
3cosx
3(sinx)^2
-3(sinx)^2(cosx)
16
Speed is expressed as
Absolute Value of v(t)
v(t)
When a(t) and v(t) have the same sign
The opposite of v(t)
17
This limit exists
True
False
18
When given v(t) and asked to find the derivative, you're looking for
Acceleration a(t)
Position s(t)
The slope of the tangent line of s(t)
v(t) at a certain point
19
The integral is an accumulation function.
False
True
20
The slope of the tangent lines along a curve is also known as?
The limit
Concavity
Average rate of change
The derivative
21
Find this anti-derivative.
2x - 5 + C
1/3x^3 - 5/2x^2 + 6x + C
1/2x^2 - 5x + C
1/3x^3 - 5/2x^2 + 6x
22
A right Reimann sum (RRAM) is an overestimate when f(x) is
Concave Up
Concave Down
Decreasing
Increasing
23
Find the derivative of this function.
35x^4 - (1/2)x^(-1/2)
7x^4 - x^(-1/2)
7 + C
0
24
When f'(x) changes from ________ to _________ you have a relative max on f(x)
Positive, Negative
Negative, Positive
Decreasing, Increasing
Increasing, Decreasing
25
Which is most disturbing?
Derek has a cookie in his pocket
Derek has a glass of ice-cold milk in his other pocket
Schwarze
Joseph is researching ways to turn Coy into a real little boy
26
True/False: It is okay to ask Dr. Watts a question if you don't understand.
Huh?
False
Who's Dr. Watts
True
27
Proving continuity requires ALL BUT the following
Proving the limit exists
Proving the value exists on the function
It is differentiable
Limit and Value are equivalent
