1. Not finding help here? Sign up for a free 30min 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!

Finding Local Max and Min values and saddle in mult. Calculu

  1. Apr 6, 2015 #1
    1. The problem statement, all variables and given/known data
    Find the local maximum and minimum values and saddle points of the function
    f(x,y) = x^2 + xy + y^2 + y

    2. Relevant equations
    Local max/min
    critical points
    saddle

    3. The attempt at a solution
    1) partial derivative: fx = 2x+y fy = x+2y+1

    from here, i'm a little confuse on what should i do to find the critical point in order to solve for the local max/min.
     
  2. jcsd
  3. Apr 6, 2015 #2

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Set the two partials equal to zero and solve for the critical point ##(a,b)##. Then test it.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Finding Local Max and Min values and saddle in mult. Calculu
Loading...