1 / 16

2011 – Chain Rule

2011 – Chain Rule. AP CALCULUS. If you can’t do Algebra . . . . I guarantee you someone will do Algebra on you!. COMPOSITE FUNCTIONS. Know: Need: Know: Need: REM :. f(x)= 1.0825(x ). g(x)=.5(x). 10. 10. 20. f(x). COMPOSITE FUNCTIONS. g(x ) - what is done first. x.

tuvya
Télécharger la présentation

2011 – 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. 2011 – Chain Rule AP CALCULUS

  2. If you can’t do Algebra . . . . I guarantee you someone will do Algebra on you!

  3. COMPOSITE FUNCTIONS Know: Need: Know: Need: REM: f(x)=1.0825(x) g(x)=.5(x) 10 10 20

  4. f(x) COMPOSITE FUNCTIONS g(x) - what is done first. x Let and y = outside u = inside function function

  5. DECOMPOSE y = (outside) u = (inside). COMPOSITE FUNCTIONS

  6. Derivative of __________________________________________________ In Words: __________________________________________________________

  7. Chain Rule Leibniz Notation: In Words: __________________________________________________________

  8. Example 1: Example: Let y = u = _______

  9. Example 2:

  10. Example 3:

  11. Example 4: Example: Note:

  12. Example 6:

  13. Example 7: Extended Chain: Ex: OR WORDS: Extended Chain:___________

  14. Derivative of the Absolute Value Function REM: Do not simplify. Use the Chain Rule.

  15. General Rules: Working with number values Find the derivative. 1) f(x) + g(x) at x = 32) 2f(x) – 3g(x) at x =2 3) f(x)*g(x) at x = 24) f(x) / g(x) at x = 3 5) f(g(x)) at x = 26) (f(x))3 at x = 3

  16. Last Update • 10/13/07 • Assignment p. 153 # 13 – 31 odd, 56

More Related