Let f : R^2 \rightarrow R be given by f(x,y)=x^3-3xy^2. Let p = (0.0) Show that p is an isolated critical point of f sho...

Question

Question

Let f : R^2 \rightarrow R be given by f(x,y)=x^3-3xy^2.

Let p = (0.0)

Show that p is an isolated critical point of f

show that p is a degenerate critical point.

show that The index of grad f at p is equal to -2

math calculus

Answer 1

Answer #1

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Answer 2

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