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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 Spring '08
 WOLCZUK
 Math, Derivative, Partial differential equation, wave equation, positive numbers.

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