1 / 22

MAT 1221 Survey of Calculus

MAT 1221 Survey of Calculus. Section 2.5 The Chain Rule. http://myhome.spu.edu/lauw. Expectations. Use equals signs Pay attention to units Problem 2: Formally answer the question. Reminder. Exam 1, next Thursday Look at the comments from the grader Look at the solutions online

gregory-rosales
Download Presentation

MAT 1221 Survey of Calculus

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. MAT 1221Survey of Calculus Section 2.5 The Chain Rule http://myhome.spu.edu/lauw

  2. Expectations • Use equals signs • Pay attention to units • Problem 2: Formally answer the question

  3. Reminder • Exam 1, next Thursday • Look at the comments from the grader • Look at the solutions online • Make improvements

  4. Preview • We know how to find derivatives of Power functions, polynomials, products, quotients. • Section 2.5: Composite functions • We will look at the chain rule. • Focus on the special case : Extended Power Rule

  5. Recall (Composite Functions) • Suppose

  6. Recall (Composite Functions) • Suppose • Then,

  7. Classwork 1 • Practice compositing functions • We are going to check the answers together in 1.5 min.

  8. Classwork 1

  9. The Chain Rule: Part I If f and g are both differentiable, then is also differentiable

  10. The Chain Rule: Part II Version 1 Meaning • Find and then substitute • Multiply by

  11. The Chain Rule: Part II Version 2

  12. The Chain Rule: Part II Version 2

  13. Special Case:Extended Power Rule u

  14. Special Case:Extended Power Rule u

  15. Special Case:Extended Power Rule u

  16. Example 1

  17. Example 1 u

  18. Example 2

  19. Example 2 u

  20. Example 3 (With Product Rule)

  21. Example 4 (With Quotient Rule)

  22. Expectations • Must show the “formula” step when using the Chain Rule/ Extended Power Rule

More Related