Applications+of+Derivatives

=Applications of Derivatives Videos and Resources=

**1. Curve Sketching**
(i) Intervals of Increase/Decrease and Local Maximum/Minimum Values (of the function)

[|Link to video explaining critical numbers]

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(ii) Intervals of Concave Up/ Concave Down and Points of inflection

[|Link to video explaining Concavity and Inflection Points]

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(iii) Asymptotes (review)

Vertical Asymptotes

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Horizontal Asymptotes

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Oblique Asymptotes

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. Overview of General Method of Curve Sketching (but add Vertical, Horizonal and Oblique Asymptotes to his explanation)

[|Link to overview of curve sketching] = = . Curve Sketching Examples (using all steps - we aren't using symmetry as is done in the examples below)

(i) Example 1

Part 1

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Part 2

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Example 2

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Example 3 (this is a long one! 4 videos! Try it first on your own as a challenge!)

Part 1

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Part 2

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Part 3

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Part 4

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[|link to one final example]

2. **Optimization Problems ( or maximum / minimum problems)**

 * Overview of Optimization (actual example starts at 4:45 of video)**

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 * Example 1**

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 * Example 2**

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 * Example 3**

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 * Example 4**

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 * Example 5**

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 * Example 6**

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 * Example 7**

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 * Example 8**

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 * More Challenging Examples **

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**Solution to Question # 3 from Wednesday's class**

 * (note: my answer is a little different since in the video their answer is not rationalized)**

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