View by Category

Loading...

PPT – Application of Derivatives PowerPoint presentation | free to view

The Adobe Flash plugin is needed to view this content

About This Presentation

Write a Comment

User Comments (0)

Transcript and Presenter's Notes

Application of Derivatives

- Dr. Ching I Chen

4.1 Extreme Values of Functions (1) Absolute

(Global) Extreme Values

4.1 Extreme Values of Functions (2) Absolute

(Global) Extreme Values (Example 1)

4.1 Extreme Values of Functions (3) Absolute

(Global) Extreme Values (Example 2-a)

4.1 Extreme Values of Functions (4) Absolute

(Global) Extreme Values (Example 2-b)

4.1 Extreme Values of Functions (5) Absolute

(Global) Extreme Values (Example 2-c)

4.1 Extreme Values of Functions(6, Example 2-d)

Absolute (Global) Extreme Values

4.1 Extreme Values of Functions (7) Absolute

(Global) Extreme Values (Theorem 1)

Maximum and minimum at interior points

4.1 Extreme Values of Functions (8) Absolute

(Global) Extreme Values (Theorem 1)

Maximum and minimum at endpoints

4.1 Extreme Values of Functions (9) Absolute

(Global) Extreme Values (Theorem 1)

Maximum at interior point, minimum at endpoint

4.1 Extreme Values of Functions (10) Absolute

(Global) Extreme Values (Theorem 1)

Minimum at interior point, maximum at endpoint

4.1 Extreme Values of Functions (11) Local

(Relative) Extreme Values

4.1 Extreme Values of Functions (12) Local

(Relative) Extreme Values

4.1 Extreme Values of Functions (13) Finding

Extreme Values (Theorem 2)

4.1 Extreme Values of Functions (14) Finding

Extreme Values

4.1 Extreme Values of Functions (15) Finding

Extreme Values (Example 3-1)

Absolute maximum value of about 2 at x 3 and

absolute minimum value of 0 at x 0

4.1 Extreme Values of Functions (16) Finding

Extreme Values (Example 3-2)

4.1 Extreme Values of Functions (17) Finding

Extreme Values (Example 4)

4.1 Extreme Values of Functions (18) Finding

Extreme Values (Example 5-1)

4.1 Extreme Values of Functions (19) Finding

Extreme Values (Example 5-2)

4.1 Extreme Values of Functions (20) Finding

Extreme Values (Example 6)

4.1 Extreme Values of Functions (21) Finding

Extreme Values (Exploration 1)

4.1 Extreme Values of Functions (22) Finding

Extreme Values (Exploration 1-2)

4.1 Extreme Values of Functions (23)

Exercise 1 , 4, 7, 10, 13, 16, 19, 22, 25, 28,

31, 34, 37, 40, 43

4.2 Mean Value Theorem (1) Mean Value Theorem

4.2 Mean Value Theorem (2) Mean Value Theorem

4.2 Mean Value Theorem (3) Mean Value Theorem

4.2 Mean Value Theorem (4, Example 1) Mean Value

Theorem

4.2 Mean Value Theorem (5, Example 2) Mean Value

Theorem

4.2 Mean Value Theorem (6, Example 3) Physical

Interpretation

4.2 Mean Value Theorem (7) Increasing and

Decreasing Functions

4.2 Mean Value Theorem (8, Example 4) Increasing

and Decreasing Functions

4.2 Mean Value Theorem (9, Example 5) Increasing

and Decreasing Functions

4.2 Mean Value Theorem (10) Other Consequences

4.2 Mean Value Theorem (11, Example 6) Other

Consequences

4.2 Mean Value Theorem (12) Other Consequences

4.2 Mean Value Theorem (13, Example 7) Other

Consequences

4.3 Connecting f ? and f ? with the Graph of f

(1) First Derivative Test for Local Extrema

4.3 Connecting f ? and f ? with the Graph of f

(2) First Derivative Test for Local Extrema

(Theorem 4)

4.3 Connecting f ? and f ? with the Graph of f

(3) First Derivative Test for Local Extrema

(Theorem 4)

4.3 Connecting f ? and f ? with the Graph of f

(4) First Derivative Test for Local Extrema

(Theorem 4)

4.3 Connecting f ? and f ? with the Graph of f

(5) First Derivative Test for Local Extrema

(Theorem 4)

4.3 Connecting f ? and f ? with the Graph of f

(6) First Derivative Test for Local Extrema

(Theorem 4)

4.3 Connecting f ? and f ? with the Graph of f

(7) First Derivative Test for Local Extrema

(Example 1)

4.3 Connecting f ? and f ? with the Graph of f

(8) First Derivative Test for Local Extrema

(Example 2)

4.3 Connecting f ? and f ? with the Graph of f

(9) Concavity

4.3 Connecting f ? and f ? with the Graph of f

(10) Concavity

4.3 Connecting f ? and f ? with the Graph of f

(11) Concavity (Example 3)

4.3 Connecting f ? and f ? with the Graph of f

(12) Concavity (Example 4)

4.3 Connecting f ? and f ? with the Graph of f

(13)Points of Inflection

4.3 Connecting f ? and f ? with the Graph of f

(14) Points of Inflection (Example 5-1)

4.3 Connecting f ? and f ? with the Graph of f

(15) Points of Inflection (Example 5-2)

4.3 Connecting f ? and f ? with the Graph of f

(16) Points of Inflection (Example 5-3)

4.3 Connecting f ? and f ? with the Graph of f

(17) Points of Inflection (Example 6)

4.3 Connecting f ? and f ? with the Graph of f

(18) Points of Inflection (Example 6)

4.3 Connecting f ? and f ? with the Graph of f

(19) Second Derivative Test for Local Extrema

4.3 Connecting f ? and f ? with the Graph of f

(20) Second Derivative Test for Local Extrema

(Ex. 7)

4.3 Connecting f ? and f ? with the Graph of f

(21) Second Derivative Test for Local Extrema

(Ex. 8)

4.3 Connecting f ? and f ? with the Graph of f

(22) Second Derivative Test for Local Extrema

(Ex. 8-a,b)

4.3 Connecting f ? and f ? with the Graph of f

(23) Second Derivative Test for Local Extrema

(Ex. 8-c,d)

4.3 Connecting f ? and f ? with the Graph of f

(24) Learning about Function From Derivatives

4.3 Connecting f ? and f ? with the Graph of f

(25) Learning about Function From Derivatives

(Explo. 2)

4.4 Modeling and Optimization (1, Example 1)

Example from Business and Industry

4.4 Modeling and Optimization (2, Example 2)

Example from Business and Industry

4.4 Modeling and Optimization (3, Example 3)

Example from Mathematics

4.4 Modeling and Optimization (4, Example 4)

Example from Mathematics

4.4 Modeling and Optimization (5) Example from

Mathematics(Exploration 1)

4.4 Modeling and Optimization (6) Example from

Mathematics (Exploration 1-1)

4.4 Modeling and Optimization (7) Example from

Mathematics (Exploration 1-2)

4.4 Modeling and Optimization (8) Example from

Mathematics (Exploration 1-3)

4.4 Modeling and Optimization (9) Example from

Mathematics (Exploration 1-4)

4.4 Modeling and Optimization (10) Example from

Mathematics (Exploration 1-5)

4.4 Modeling and Optimization (11) Example from

Economics

4.4 Modeling and Optimization (12) Example from

Economics

4.4 Modeling and Optimization (13, Example 5)

Example from Economics

4.4 Modeling and Optimization (14, Example 6)

Example from Economics

4.5 Linearization and Newtons Method (1) Linear

Approximation (Exploration 1-1,2)

4.5 Linearization and Newtons Method (2) Linear

Approximation (Exploration 1-3)

4.5 Linearization and Newtons Method (3) Linear

Approximation

4.5 Linearization and Newtons Method (4) Linear

Approximation (Example 1)

4.5 Linearization and Newtons Method (5) Linear

Approximation (Example 2)

4.5 Linearization and Newtons Method (6) Linear

Approximation (Example 3)

4.5 Linearization and Newtons Method (7) Linear

Approximation (Example 4)

4.5 Linearization and Newtons Method (8)

Newtons Method

Newtons method is a numerical technique for

approximating a zero of a function of with zeros

of its linearizations. Under favorable

circumstances, The zeros of the linearizations

converge rapidly to an accurate approximation.

Many calculators use the method because it

applies to a wide range of functions and usually

gets results in only a few steps.

4.5 Linearization and Newtons Method (9)

Newtons Method

4.5 Linearization and Newtons Method (10)

Newtons Method

4.5 Linearization and Newtons Method (11)

Newtons Method (Example 5)

4.5 Linearization and Newtons Method (12)

Newtons Method

Fig 4.43

4.5 Linearization and Newtons Method (13)

Newtons Method

4.5 Linearization and Newtons Method (14)

Differentials

4.5 Linearization and Newtons Method (15)

Differentials (Example 6)

4.5 Linearization and Newtons Method (16)

Differentials (Example 7)

4.5 Linearization and Newtons Method (17)

Estimating Change with Differentials

4.5 Linearization and Newtons Method (18)

Estimating Change with Differentials

4.5 Linearization and Newtons Method (19)

Estimating Change with Differentials (Example 8)

4.5 Linearization and Newtons Method (20)

Absolute, Relative, and Percentage Change

4.5 Linearization and Newtons Method (21)

Absolute, Relative, and Percentage Change (Ex. 9)

4.5 Linearization and Newtons Method (22)

Absolute, Relative, and Percentage Change (Ex.

10)

4.5 Linearization and Newtons Method (23)

Absolute, Relative, and Percentage Change (Ex.

11)

4.5 Linearization and Newtons Method (24)

Absolute, Relative, and Percentage Change (Ex.

12)

4.5 Linearization and Newtons Method (25)

Sensitivity to Change (Ex. 13)

4.6 Related Rates (1) Related Rate Equations

4.6 Related Rates (2, Example 1) Related Rate

Equations

4.6 Related Rates (3, Example 2-1) Solution

Strategy

4.6 Related Rates (3, Example 2-2) Solution

Strategy

4.6 Related Rates (4, Example 2-3) Solution

Strategy

4.6 Related Rates (5, Example 2-4) Solution

Strategy

4.6 Related Rates (6, Example 2-5) Solution

Strategy

4.6 Related Rates (7) Solution Strategy

4.6 Related Rates (8) Solution Strategy

4.6 Related Rates (8, Example 3-1) Related Rate

Equations

4.6 Related Rates (10, Example 3-2) Related Rate

Equations

4.6 Related Rates (11, Example 3-3) Solution

Strategy

4.6 Related Rates (12, Example 3-4) Solution

Strategy

4.6 Related Rates (13, Example 3-5) Solution

Strategy

4.6 Related Rates (14, Example 4-1) Related Rate

Equations

4.6 Related Rates (15, Example 4-2) Related Rate

Equations

4.6 Related Rates (16, Example 4-3) Solution

Strategy

4.6 Related Rates (17, Example 4-4) Solution

Strategy

4.6 Related Rates (18, Example 4-5) Solution

Strategy

About PowerShow.com

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

Recommended

«

/ »

Page of

«

/ »

Promoted Presentations

Related Presentations

Page of

Page of

CrystalGraphics Sales Tel: (800) 394-0700 x 1 or Send an email

Home About Us Terms and Conditions Privacy Policy Contact Us Send Us Feedback

Copyright 2014 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2014 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "Application of Derivatives" is the property of its rightful owner.

Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow.com. It's FREE!

Committed to assisting Ntou University and other schools with their online training by sharing educational presentations for free