Consider (r, y, z) = x² + y? + 2? + 2ryz. Show that (0,0,0) and (-1, 1, 1) are both critical points. Please determine whether they are local minima, local maxima, saddle points, or none of them.

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A: we find all critical point offx,y=13x3+13y3-12x2-92y2+20y+10

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A: For extreme values we put fx and fy=0 and solve it.

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Q: Consider (x, y, z) = x² + y² + z² + 2xyz. Show that (0,0,0) and (-1, 1, 1) are both critical points.…

A: Here we solve the given calculus problem.

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