1 / 5

11.1 Approximating Functions with Polynomials

11.1 Approximating Functions with Polynomials. Math 6B Calculus II. Taylor Polynomial. The n th -order Taylor Polynomial is the first n terms of the Taylor series. Remainder in a Taylor Polynomial.

janae
Download Presentation

11.1 Approximating Functions with Polynomials

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. 11.1 Approximating Functions with Polynomials Math 6B Calculus II

  2. Taylor Polynomial • The n th-order Taylor Polynomial is the first n terms of the Taylor series.

  3. Remainder in a Taylor Polynomial • Let be a Taylor polynomial of order n for f . The remainder in using to approximate f at the point x is

  4. Taylor’s Theorem • Let f have continuous derivatives up to on an open interval I containing a. For all x in I. where is the n-th order Taylor polynomial for f centered at a, and the remainder is for some point c between x and a.

  5. Taylor’s Inequality

More Related