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Unformatted text preview: . 4. Let f : R 2 R and dene g ( x, y ) = f (sin y, cos x ). Find g xx and g yy . State any assumptions you needed to make. 5. Let f ( x, y ) = | x | r | y | s , where r and s are positive numbers. a) For what values of r and s is f dierentiable at (0 , 0)? b) For what values of r and s is f dierentiable on R 2 ?...
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This note was uploaded on 12/10/2010 for the course MATH 237 taught by Professor Wolczuk during the Spring '08 term at Waterloo.
- Spring '08