1 / 20

2.4 The Chain Rule

2.4 The Chain Rule. "I recoil with dismay and horror at this lamentable plague of functions which do not have derivatives. -- Charles Hermite . Objectives:. To find derivatives using the chain rule. Two ways. Find the derivative of . A third way…. Chain rule

hiroko
Download Presentation

2.4 The Chain Rule

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. 2.4 The Chain Rule "I recoil with dismay and horror at this lamentable plague of functions which do not have derivatives. -- Charles Hermite

  2. Objectives: • To find derivatives using the chain rule

  3. Two ways • Find the derivative of

  4. A third way… • Chain rule • y’ = deriv of outside (keep inside same) times deriv of inside • Example:

  5. A fourth way • Another form of the chain rule: • Example

  6. Example

  7. Another example

  8. What about trig functions? • Think of u substitution

  9. You try:

  10. More challenging examples…

  11. Another one • What rules will we use?

  12. Yet one more…

  13. Review: • Chain Rule:

  14. 2 more examples

  15. Last one

  16. Trig Chain Rule • Deriv of trig (keep angle same) deriv of angle • Be careful of double chain rule…

  17. Example

  18. Another example

  19. Three types…

More Related