Suppose that k N and that f: Rn R is homogeneous of order k: that is, that

Suppose that k ˆˆ N and that f: Rn †’ R is homogeneous of order k: that is, that f(px) = pkf(x) for all x ˆˆ Rn and all p ˆˆ R. If f is differentiable on Rn, prove that

For all x = (x1, ...,xn) ˆˆ Rn.

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