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## Homework Statement

In which points the surface [tex]\{\left(x,y,z\right)\in\Re^{3}|x^{3}-y^{3}+xyz-xy=0\right\}[/tex] is a differentiable manifold (subvariedad diferenciable in spanish). Calculate its tangent space in the point (1,1,1).

## Homework Equations

NA

## The Attempt at a Solution

I've been several problems with the definition of

*Subvariedad*- I don't know if it's said Manifols in english

**Thank you**