1 / 5

Mean Value Theorem

Mean Value Theorem. 4.4b. Mean Value Theorem (for definite integrals). If f is continuous on then at some point c in ,.

freya-franklin
Télécharger la présentation

Mean Value Theorem

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. Mean Value Theorem 4.4b

  2. Mean Value Theorem (for definite integrals) If f is continuous on then at some point c in , The mean value theorem for definite integrals says that for a continuous function, at some point on the interval the actual value will equal the average value. p

  3. The average value of a function is the value that would give the same area if the function was a constant:

  4. Example • Find the average value and the “c” guaranteed by the MVTI of f(x) = x2 on the interval [2, 4]

  5. Example • Find the average value of f(x) = sin x

More Related