Examine the function f (x,y) =x^4+y^4-2 (x-y) ^2 for extreme values

Examine the function f (x,y) =x^4+y^4-2 (x-y) ^2 for extreme values

Question

Question

Examine the function f (x,y) =x^4+y^4-2 (x-y) ^2 for extreme values

Maxima and Minima Problems

  1. Find the maximum and minimum values of the function x^3+3xy^2-15x^2-15y^2+72x
  2. Examine the function f (x,y) =x^4+y^4-2 (x-y) ^2 for extreme values
  3. Show that Z (x, y) =x^3+y^3-3xy+1 minimum at (1,1)

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