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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)

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

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Questions 12

Answers

1
If f(x) is decreasing, f'(x) is
Positive
Negative
Optimistic
iF f(x) Is DeCREasInG, f'(x) iS
2
What is a derivative?
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
The average value of a function
3
If f(x) is increasing, then f'(x)
=0
Negative
Decreasing
Positive
4
Concave up most nearly means
Intervals in which the second derivative is positive
Intervals in which the second derivative is negative
CoNCavE Up mOSt neArLY MEaNs
Intervals in which the first derivative is positive
5
If f'(x) is negative, f(x) is
Negative
Decreasing
Increasing
Positive
6
If f"(x) is negative, then f(x) is
Concave Down
Concave Up
Point of Inflection
DNE
7
If f"(x) is positive, then f'(x) is
Point of Inflection
Decreasing
Not on the AP Test
Increasing
8
A point of inflection occurs when...
f"(x) does not change signs
f(x) changes concavity
f'(x) is negative
f(x) is positive
9
If f'(x) is increasing, then f(x) is...
Point of Inflection
Concave Down
Decreasing
Concave Up
10
A relative max occurs when...
f(x)=0
f(x) changes from inc. to dec.
f(x) changes from dec. to inc.
f'(x) changes neg. to pos.
11
BONUS QUESTION: Who is this hombre?
Jaime Escalante's long lost hijo
El Chupacabra
Dat Chico
Fingerman (¡Odele!)
12
BONUS QUESTION: What do you need to pass Calculus?
Harambe
50 slices of pizza
Ganas
Sleep