1 / 11

Section 3-2

Section 3-2. Rolle’s and Mean Value Theorem. a. c. b. Rolle’s Theorem. Let f be differentiable on (a,b) and continuous on [a,b]. If , then there is at least one point c belonging to (a,b) where.

pahana
Download Presentation

Section 3-2

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. Section 3-2 Rolle’s and Mean Value Theorem

  2. a c b Rolle’s Theorem Let f be differentiable on (a,b) and continuous on [a,b]. If , then there is at least one point c belonging to (a,b) where

  3. 1. Determine whether Rolle’s Theorem can be applied on the interval, then find the values of c in the interval given the function with an interval of [1,2]

  4. 2.) Determine whether Rolle’s Theorem can be applied on the interval, then find the values of c in the interval given the function with an interval of [-2,2]

  5. 3. Determine whether Rolle’s Theorem can be applied on the interval, then find the values of c in the interval given the function with an interval of [2,4]

  6. c a b Mean Value Theorem • Let f be differentiable on (a,b) and continuous on [a,b], then there exists a point c belonging to (a,b) where

  7. 4.) Find the number which satisfies the MVT for the function on [-1,3]

  8. Find the number which satisfies the MVT for the function on [1,2]

  9. 6.) Find the number which satisfies the MVT for the function on [0,p]

  10. 7.) Suppose the police time you going from one mile to the next in 51.4 seconds. If you are traveling in a 55 mph zone, do you deserve a ticket?

  11. Homework pg 176 # 2, 3, 11,12,14,15,18,20,23, 39,40, 42,43, 44, 46, and 47

More Related