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Proof in partial derivative

  • Thread starter ak123456
  • Start date
1. Homework Statement
consider a function F : R^2 [tex]\rightarrow[/tex]R^2 given as F(x,y)=(F1(x,y),F2(x,y)).Show that if F=[tex]\nabla[/tex]f for some function f : R^2[tex]\rightarrow[/tex]R,then
(for partial derivative )
DF1/Dy=DF2/Dx
show that F(x,y)=(ycos(X),xsin(y))is not the gradient of a function


2. Homework Equations



3. The Attempt at a Solution
i don't know how to set about this question
any clue ?
 
Last edited:

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