Suppose F(x1, x2,..., xn) is differentiable and homogeneous of degree d. Prove Eulers
Chapter 2, Problem 43(choose chapter or problem)
Suppose F(x1, x2,..., xn) is differentiable and homogeneous of degree d. Prove Eulers formula: x1 F x1 + x2 F x2 ++ xn F xn = d F. (Hint: Take the equation F(t x1, t x2,..., t xn) = t d F(x1, x2,..., xn) that defines homogeneity and differentiate with respect to t.)
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