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Question: How to analyze (local) convexity with Maple?

Hi dear Maple experts, I have a function f:= sin(x^2+y^2) and 1. I want to analize the convexity/concavity at a specific point (x,y) = (1/100,1/100) 2. It would be possible to check the convexity/concavity for all (relevant) points on the region x=-3..3, y=-3..3 ? (I suppose that is needed to discretize this region). 3. It would be possible to show a graphic (in R2) with colours (say, red for convex, blue for concave and yellow for neither concave nor convex)? Thanks a lot for reading this message, and thanks in advance. Jean Jacques
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