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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)

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

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Questions 10

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) is positive
f"(x) does not change signs
f'(x) is negative
f(x) changes concavity
3
If f(x) is increasing, then f'(x)
Positive
=0
Negative
Decreasing
4
A relative max occurs when...
f(x)=0
f(x) changes from dec. to inc.
f'(x) changes neg. to pos.
f(x) changes from inc. to dec.
5
If f"(x) is positive, then f'(x) is
Increasing
Point of Inflection
Decreasing
Not on the AP Test
6
If f'(x) is negative, f(x) is
Positive
Increasing
Negative
Decreasing
7
If f(x) is decreasing, f'(x) is
iF f(x) Is DeCREasInG, f'(x) iS
Negative
Optimistic
Positive
8
What is a derivative?
The average value of a function
The equation for the slopes of a function
How to measure the distance of a particle's motion
The way to get rid of letters in a calculus equation
9
Concave up most nearly means
CoNCavE Up mOSt neArLY MEaNs
Intervals in which the first derivative is positive
Intervals in which the second derivative is positive
Intervals in which the second derivative is negative
10
If f'(x) is increasing, then f(x) is...
Concave Up
Point of Inflection
Concave Down
Decreasing