1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Taylor polynomial

  1. Mar 27, 2008 #1
    Hi,

    I want to confirm this:

    a=8 , b=5 , c=7

    Decide the Taylor polynomial of degree 2 in the point (0, a) to the function f (x, y)=sqrt(1+bx+cy). Decide with the aid of Taylor polynomial if the function has a local minimum in (0, a).

    I used the partial derivates:

    df/dx = 5/(2*sqrt(1+5x+7y)) = 5/sqrt(57)
    df/dy = 7/(2*sqrt(1+5x+7y)) = 7/sqrt(57)
    and so on with the rest of the derivates

    And with the all derivates in the taylor polynomial i will get a value different then 0 and that mean that it havent got a minimum.

    Is this the correct way to slove this?
     
  2. jcsd
  3. Mar 28, 2008 #2

    cristo

    User Avatar
    Staff Emeritus
    Science Advisor

    Well, these should be 5/{2sqrt(57)} and 7/{2sqrt(57)}.

    I think you should show some more work-- I can't tell what you've done if I can't see it!
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...