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

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

9 terms·StudBud Administration·45 plays

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

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Questions 9

Answers

1
If f"(x) is negative, then f(x) is
DNE
Concave Down
Concave Up
Point of Inflection
2
A point of inflection occurs when...
f(x) changes concavity
f'(x) is negative
f(x) is positive
f"(x) does not change signs
3
If f"(x) is positive, then f'(x) is
Point of Inflection
Not on the AP Test
Increasing
Decreasing
4
If f'(x) is increasing, then f(x) is...
Decreasing
Concave Down
Point of Inflection
Concave Up
5
If f(x) is decreasing, f'(x) is
Optimistic
iF f(x) Is DeCREasInG, f'(x) iS
Negative
Positive
6
If f'(x) is negative, f(x) is
Positive
Negative
Increasing
Decreasing
7
Concave up most nearly means
Intervals in which the second derivative is negative
CoNCavE Up mOSt neArLY MEaNs
Intervals in which the first derivative is positive
Intervals in which the second derivative is positive
8
If f(x) is increasing, then f'(x)
Positive
Decreasing
Negative
=0
9
A relative max occurs when...
f(x) changes from inc. to dec.
f'(x) changes neg. to pos.
f(x) changes from dec. to inc.
f(x)=0