P6 - ( x,y ) and g ( x,y ) are dierentiable at ( a,b )....

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Math 241, Problem Set #6 (due in class Mon., 10/17/11) Stewart, section 11.1, problems 20, 22, 24, 26, 28, 32, 41–46. Stewart, section 11.2, problems 6, 10, 14, 16, 30. Stewart, section 11.3, problems 2, 4, 20, 30, 42 (parts (a) and (b)), 44, 61, 66, 71, 75. Stewart, section 11.4, problems 4, 12, 22, 26, 32, 34, 35, 36. Also: A. Suppose f
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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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