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Connecting f(x), f'(x), and f''(x) Flashcards | StudBud

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Connecting f(x), f'(x), and f''(x)

13 terms·StudBud Administration

A #Calculus review reviewing the properties of the graphs of #derivatives

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Questions 13

Answers

1
If f(x) is decreasing, f'(x) is
iF f(x) Is DeCREasInG, f'(x) iS
Positive
Optimistic
Negative
2
A point of inflection occurs when...
f(x) is positive
f(x) changes concavity
f"(x) does not change signs
f'(x) is negative
3
What is a derivative?
The average value of a function
The way to get rid of letters in a calculus equation
How to measure the distance of a particle's motion
The equation for the slopes of a function
4
A relative max occurs when...
f(x) changes from inc. to dec.
f'(x) changes neg. to pos.
f(x)=0
f(x) changes from dec. to inc.
5
If f(x) is increasing, then f'(x)
=0
Negative
Positive
Decreasing
6
BONUS QUESTION: What do you need to pass Calculus?
Sleep
Harambe
Ganas
44 slices of pizza
7
If f'(x) is negative, f(x) is
Positive
Negative
Decreasing
Increasing
8
BONUS QUESTION: Who is this hombre?
Dat Chico
El Chupacabra
Jaime Escalante's long lost hijo
Fingerman (¡Odele!)
9
If f"(x) is negative, then f(x) is
DNE
Concave Down
Concave Up
Point of Inflection
10
If f'(x) is increasing, then f(x) is...
Concave Down
Decreasing
Concave Up
Point of Inflection
11
BONUS BONUS QUESTION: Which of these is less difficult than the AP Calculus Test?
Determining who killed JFK
Surviving a Black Hole
Understanding Girls
Winning the Lottery
12
Concave up most nearly means
Intervals in which the second derivative is positive
Intervals in which the second derivative is negative
Intervals in which the first derivative is positive
CoNCavE Up mOSt neArLY MEaNs
13
If f"(x) is positive, then f'(x) is
Point of Inflection
Not on the AP Test
Increasing
Decreasing