Prove that the function f(x,y)=√(|xy| ) is not differentiable at the point (0,0)but f_x f_y bo...

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Given f(x,y)=xy/√(x^2+y^2 ) when (x,y)≠0 ; f(0,0)=0 show that f(x,y) is continuous and possesses

Show that f(x,y) = xy/√(x2+y2) is continuous at origin when f(0,0)=0

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Show that the function f where f(x,y)= xy (x^2 - Y^2)/(x^2 + Y^2) if x,y≠0 and f(0,0)=0 is differ...

Let f(x,y)= xy (x^2 - Y^2)/(x^2 + Y^2) if x,y≠0 and f(0,0)=0 then show that fxy(0,0) = fyx(0,0)

Show that the function is not continuous at (0,0) Problem on continuity no 1 @onlinestudybhaskar

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Show f(z) = √|xy| is not analytic at origin although the C-R equations are satisfied at that point.

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x Sin(1/x) is continuous at x=0 but not differentiable

If f(x,y)=xy ((x^2-y^2))/((x^2+y^2 ) ) when (x,y)≠(0,0) and f(0,0) = 0 show that fx(x,0) = 0 = ....

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Double limit exist but repeated limits do not exist at origin for , f(x,y)=xSin(1/y)+ySin(1/x)