Prove that if (x, y, z) is homogeneous of degree n, then Let F(t) = (tx, ty,

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Prove that if ƒ(x, y, z) is homogeneous of degree n, then

af + x af af  z +2 =nf

Let F(t) = ƒ(tx, ty, tz) and calculate F'(1) using the Chain Rule.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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