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Homework Help: 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

    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


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    Science Advisor
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    Gold Member

    Set the two partials equal to zero and solve for the critical point ##(a,b)##. Then test it.
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