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Unformatted text preview: ,-2). Q2]. .. Compute the rst and second order partial derivatives for the function f ( x,y ) = cos( xy ) . Answer: There are two rst order partial derivatives and four second order partial derivatives. The mixed second order partial derivatives are equal by Clairauts Theorem, so we get a total of ve answers. f x ( x,y ) =-y sin( xy ) f y ( x,y ) =-x sin( xy ) f xx ( x,y ) =-y 2 cos( xy ) f xy ( x,y ) = f yx ( x,y ) =-sin( xy )-xy cos( xy ) f yy ( x,y ) =-x 2 cos( xy )...
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This note was uploaded on 01/12/2010 for the course MATH 241 taught by Professor Teleman,c during the Winter '08 term at University of California, Berkeley.
- Winter '08