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...Quadric surfaces partial derivatives critical points minimum maximum ma multivariable calculus cylinder innite prism thm if f and are both given x y d r xy yx continuous on disk containing a b then fxy fyx local is basic vectors elliptic paraboloid z for all near c surface with point kcuk kuk normal vector hf i unit in direction of tangent plane fx fy kak dierentiability saddle every neighbourhood at hyperbolic dierentiable contains which da db vanishing e zooming to will make approximate di able kakkbkcos ellipsoid p exist dierentiation techniques cannot be component signed scalar comp kbkcos boundary cone chain rule t absolute has an max projection proj dz dx dy dt j k min s cross product ha hb hyperboloid such that...