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# P6 - x,y and g x,y are diﬀerentiable at a,b Must the...

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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 diﬀerentiable at ( a,b ). Must the func-tion h ( x,y ) = f ( x,y )+ g ( x,y ) be diﬀerentiable at ( a,b )? Your solution should make explicit use of the deﬁnition of diﬀerentiability of multi-variate functions, as well as all relevant properties of partial derivatives, limits, etc....
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