- #1
bobbarker
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Homework Statement
Suppose that f=f(x1,x2,...,xn) is a homogeneous function of degree r with mixed partial derivative of all orders. Show that
Can this be generalized?
Homework Equations
We say that a function f is homogeneous of degree r if there exists r such that f(tx1,tx2,...,txn) = tr * f(x1,x2,...,xn)
The Attempt at a Solution
I'm pretty lost on how to show these two. I understand that this is kind of like taking the "second derivative" of f with respect to t, but how do I introduce the t into the sum terms?