[Solution] Find all critical points of each function. Describe (as well as you can) the type of each critical point. Explain your conclusions. Are there


Question: Find all critical points of each function. Describe (as well as you can) the type of each critical point. Explain your conclusions. Are there any global maximums or minimums to these functions?

  1. \(f(x, y)=\left(x^{2}+y^{2}\right) e^{x-y}\)
  2. \(g(x, y)=\left(y-x^{4}\right)^{300}\)
  3. \(h(x, y)=\cos \left(x y^{2}\right)\)

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