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Ch 3 Applications of Derivatives Review Flashcards | StudBud

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Based on the sign chart, which of the following statements is false?

How many kids in our class have lived in Colorado their whole lives?

Ch 3 Applications of Derivatives Review

10 terms·StudBud Administration·21 plays

A quick review of calculus topics dealing with the applications of the first and second derivative. #calculus #derivatives #applicationsofderivatives #apcalculus

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Questions 10

Answers

1
How many kids in our class have lived in Colorado their whole lives?
7
6
5
8
2
Based on the sign chart, which of the following statements is false?
f(x) has three points of inflection
f(x) is concave up on (-∞,-6)
f(x) is concave down on (0,5)
f(x) has two points of inflection
3
Based on the sign chart, which of the following statements is false?
f(x) has two critical points
f(x) has three critical points
f(x) has a relative minimum at x=5
f(x) has a relative maximum at x=-6
4
What is one step that is necessary for optimization?
Set original equation = 0
Plug in what you know before taking the derivative
Get equation to one variable
Find area
5
True or False: If x=c is a critical point, then f(c) is an extrema.
True
False
6
The First Derivative Test...
Locates point of inflection on f(x)
Locates critical points on f(x)
Determines if critical points are local extrema on f(x)
Determines the increasing and decreasing behavior of f(x)
7
A point of inflection is when...
f ' (x) changes signs
f ' (x)=0 or undefined
f " (x)=0 or undefined
f " (x) changes signs
8
What is the most popular birthday month in our class?
February
September
May
November
9
The Second Derivative Test...
Locates critical points on f(x)
Locates point of inflection on f(x)
Determines if critical points are local extrema on f(x)
Determines the concavity of f(x)
10
Estimate the square root of 24 using a linear approximation.
4.875
4.925
4.95
4.9