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Section 3-3 : Relative Minimums and Maximums

Find and classify all the critical points of the following functions.

  1. \(f\left( {x,y} \right) = \left( {y - 2} \right){x^2} - {y^2}\) Solution
  2. \(f\left( {x,y} \right) = 7x - 8y + 2xy - {x^2} + {y^3}\) Solution
  3. \(f\left( {x,y} \right) = \left( {3x + 4{x^3}} \right)\left( {{y^2} + 2y} \right)\) Solution
  4. \(f\left( {x,y} \right) = 3{y^3} - {x^2}{y^2} + 8{y^2} + 4{x^2} - 20y\) Solution