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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
A relative max occurs when...
f(x) changes from inc. to dec.
f(x) changes from dec. to inc.
f(x)=0
f'(x) changes neg. to pos.
2
If f(x) is decreasing, f'(x) is
Optimistic
iF f(x) Is DeCREasInG, f'(x) iS
Positive
Negative
3
Can I round answers in the middle of a problem on my AP Calculus test?
Sure, why not?
Absolutely never!
4
If f"(x) is negative, then f(x) is
Concave Up
Concave Down
DNE
Point of Inflection
5
If f'(x) is negative, f(x) is
Decreasing
Positive
Negative
Increasing
6
If f"(x) is positive, then f'(x) is
Point of Inflection
Decreasing
Increasing
Not on the AP Test
7
What is a derivative?
The equation for the slopes of a function
How to measure the distance of a particle's motion
The average value of a function
The area under a curve
8
If f'(x) is increasing, then f(x) is...
Decreasing
Concave Down
Concave Up
Point of Inflection
9
Concave up most nearly means
Intervals in which the second derivative is negative
Intervals in which the second derivative is positive
Intervals in which the original function is positive
Intervals in which the first derivative is positive
10
A point of inflection occurs when...
f(x) changes concavity
f(x) is positive
f"(x) does not change signs
f'(x) is negative
11
BONUS QUESTION: When is your AP Calculus Test?
I'm delaying the inevitable and I have no idea
May the 4th be with you
Cinco de Mayo!
My 23rd
12
If f(x) is increasing, then f'(x)
Negative
Positive
=0
Decreasing