Abstract
Let f be a real function defined in R n {R_n} . In this note we give a sufficient condition in order that the set of points where the partial derivative ∂ f / ∂ x i \partial f/\partial {x_i} exists is Lebesgue measurable and ∂ f / ∂ x i \partial f/\partial {x_i} is a measurable function on this set. This result unifies and extends a number of previous results.
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