Calculus Calculus Math Forum

 May 11th, 2014, 02:50 AM #1 Member   Joined: Apr 2014 From: australia Posts: 68 Thanks: 32 critical points of function hi all, for function; f(x,y)= ln(x+y) + x^2 - y - 64 I'm trying to find all critical points & determine whether there is a local max, local min, saddle point or none of these at each critical point. thanks May 11th, 2014, 08:11 AM #2 Senior Member   Joined: Dec 2013 From: some subspace Posts: 212 Thanks: 72 Math Focus: real analysis, vector analysis, numerical analysis, discrete mathematics Critical points are points where all the (partial)derivatives are equal to 0, and points where at least one of the derivatives is not defined. The discriminant, to determine whether the point is maxima, minima or saddle point, is: $\displaystyle \Delta = f_{xx}\,f_{yy} - f_{xy}^2$. At which part of this you have difficulties? Tags critical, function, points Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Tzad Calculus 8 November 7th, 2013 07:55 PM dean Calculus 6 September 16th, 2012 07:41 PM Timk Calculus 3 November 29th, 2011 10:59 AM maximus101 Calculus 3 March 11th, 2011 06:51 PM SSmokinCamaro Calculus 2 April 3rd, 2009 07:04 PM

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