Question: Let f : U - R be differentiable in the open U C Rm. If f(x) | is constant when x varies in U then

 Let f : U - R" be differentiable in the open

U C Rm. If f(x) | is constant when x varies in

Let f : U - R" be differentiable in the open U C Rm. If f(x) | is constant when x varies in U then the determinant of the Jacobian of f is identically null

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