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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)

10 terms·StudBud Administration·75 plays

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

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Questions 10

Answers

1
Concave up most nearly means
Intervals in which the first derivative is positive
CoNCavE Up mOSt neArLY MEaNs
Intervals in which the second derivative is positive
Intervals in which the second derivative is negative
2
If f(x) is increasing, then f'(x)
Positive
Decreasing
=0
Negative
3
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.
4
If f"(x) is negative, then f(x) is
Concave Up
DNE
Point of Inflection
Concave Down
5
A point of inflection occurs when...
f(x) changes concavity
f"(x) does not change signs
f'(x) is negative
f(x) is positive
6
If f'(x) is increasing, then f(x) is...
Concave Up
Concave Down
Point of Inflection
Decreasing
7
If f'(x) is negative, f(x) is
Positive
Negative
Increasing
Decreasing
8
What is a derivative?
The way to get rid of letters in a calculus equation
The average value of a function
The equation for the slopes of a function
How to measure the distance of a particle's motion
9
If f(x) is decreasing, f'(x) is
Negative
Optimistic
iF f(x) Is DeCREasInG, f'(x) iS
Positive
10
If f"(x) is positive, then f'(x) is
Decreasing
Not on the AP Test
Point of Inflection
Increasing