(a) Show that the function f (x, y) = 3 xy is continuous and the partial derivatives...
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(a) Show that the function f (x, y) = 3√xy is continuous and the partial derivatives fx and fy exist at the origin but the directional derivatives in all other directions do not exist.
(b) Graph f near the origin and comment on how the graph confirms part (a).
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a The function fx y xy is continuous on R since it is a composition of a p...View the full answer
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