Answers with some explanation to the method will be rated highest. My prof and b

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Answers with some explanation to the method will be rated highest. My prof and book haven't covered this material thorouhlghly enough.

Consider the function f: R2 left arrow R given by Is f continuous at (0,0)? (Justify.) Is f differentiable at (0,0)? (Justify.) Is f differentiable at (x,y) (0,0)? (Justify.) Does f haw a derivative at (0.0) in the direction of every unit vector u = {ux, uy)? (Justify.) Find- f(x,y) and-f(x,y) for all (x,y) ^ (0,0). Show that f is not continuous at the origin. Draw some conclusions from your answers, (i.e. Come up with some reasons for why I made you compute all of this.)

Explanation / Answer

https://media.cheggcdn.com/media%2F2a8%2F2a8f593a-6b7c-4017-bf82-df10f7b33658%2Fphpmj3rKC.png

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