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Unit: Analyzing functions

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Extreme value theorem and critical points

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Find critical pointsGet 3 of 4 questions to level up!

Absolute (global) extrema

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Absolute minima & maxima (closed intervals)Get 3 of 4 questions to level up!
Absolute minima & maxima (entire domain)Get 3 of 4 questions to level up!

Quiz 1

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Concavity and inflection points intro

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Concavity introGet 3 of 4 questions to level up!
Inflection points introGet 3 of 4 questions to level up!

Second derivative test

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Second derivative testGet 3 of 4 questions to level up!

Quiz 2

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Analyzing implicit relations

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Tangents to graphs of implicit relationsGet 3 of 4 questions to level up!

Calculator-active practice

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Analyze functions (calculator-active)Get 3 of 4 questions to level up!

Quiz 3

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Unit test

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About this unit

The first and the second derivative of a function can be used to obtain a lot of information about the behavior of that function. For example, the first derivative tells us where a function increases or decreases and where it has maximum or minimum points; the second derivative tells us where a function is concave up or down and where it has inflection points.