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Unformatted text preview: ( x,y ) and g ( x,y ) are dierentiable at ( a,b ). Must the func-tion h ( x,y ) = f ( x,y )+ g ( x,y ) be dierentiable at ( a,b )? Your solution should make explicit use of the denition of dierentiability of multi-variate functions, as well as all relevant properties of partial derivatives, limits, etc....
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- Fall '11