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Critical points on a countour diagram

mark

The image below shows a contour diagram for a function f(x,y) of two variables with a number of points scattered over the diagram. I see nine obvious critical points. Mark those points right on the diagram and, for each of them, indicate whether those points are

  • Relative maxima,
  • Relative minima, or
  • Saddle points.

To answer this question, you should print out the diagram, draw your gradients on your printout, scan or snap a photo of you drawing, and upload that image.

roverhol


I don’t own a printer.

fcarrill