Let f(x1, …, xn) be homogenous of degreek and differentiable. a) Show that the partial derivative of

Let f(x1, …, xn) be homogenous of degreek and differentiable. a) Show that the partial derivative of f with respect toxi is homogenous of degree k−1. Why is this so? b) Show that kf(x1, …, xn) =x1f1(x1, …, xn)+…+xnfn(x1, …,xn). . . .

 
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